PLEASE HELP
find the first 5 terms in the sequence
A) 6, 12, 24, 48, 96
B)1, 2, 3, 4, 5
C)6, 7, 8, 9, 10
D) 6, 11, 21, 41, 81
Answers
Answer:
The first five terms are 6, 11, 21, 41, 81 ⇒ D
Step-by-step explanation:
∵ The rule of the sequence is a(1) = 6; a(n) = 2 a(n - 1) - 1 for n ≥ 2
∴ The first term of the sequence is 6
∴ The value of n represents the position of the term
∵ n = 2
∴ a (n - 1) = a(2 - 1) = a1
∵ a1 = 6
→ Substitute a1 by 6
∴ a(2) = 2(6) - 1 = 12 - 1
∴ a(2) = 11
∵ n = 3
∴ a (n - 1) = a(3 - 1) = a2
∵ a2 = 11
→ Substitute a2 by 11
∴ a(3) = 2(11) - 1 = 22 - 1
∴ a(3) = 21
∵ n = 4
∴ a (n - 1) = a(4 - 1) = a3
∵ a3 = 21
→ Substitute a3 by 21
∴ a(4) = 2(21) - 1 = 42 - 1
∴ a(4) = 41
∵ n = 5
∴ a (n - 1) = a(5 - 1) = a4
∵ a4 = 41
→ Substitute a4 by 41
∴ a(5) = 2(41) - 1 = 82 - 1
∴ a(5) = 81
∴ The first five terms are 6, 11, 21, 41, 81
Related Questions
plsssssssssssssss help
Answers
Answer:
(D). (8, - 5)
Step-by-step explanation:
Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)
Coordinates of the midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
(x² - 10x + 25) + (y² + 2y + 1) = 25
(x - 5)² + (y + 1)² = 5²
(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)
5 = (2 + x) / 2 ⇒ x = 8
- 1 = (3 + y) / 2 ⇒ y = - 5
(D). (8, - 5)
In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About
what fraction of the votes did Lincoln receive?
Answers
Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!
Answers
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
All the fractions can simplify to 2/3
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
Step-by-step explanation:
re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.
Type the correct answer in the box. Use numerals instead of words.
Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.
Answers
Answer:
22% because her taxable income will now be 40,000 dollars
Step-by-step explanation:
Answer:
15% Plato
Step-by-step explanation:
Is 5/6 equal to 2/3?
Answers
=====================================================
Work Shown:
For now, let's assume they are equal. We'll show a contradiction happens.
5/6 = 2/3
5*3 = 6*2 ... cross multiply
15 = 12 ... here's the contradiction
If the original equation was true, then we would get the same thing on both sides in the final step shown above. However, we get a contradiction, so that means the original equation is false.
Furthermore, the left side is larger in the third step, so the left side is larger for each of the three steps. We can then say
5/6 > 2/3
5*3 > 6*2
15 > 12
Which helps show 5/6 is larger than 2/3.
---------------------
Or you can use a calculator to see that
5/6 = 0.833 approximately
2/3 = 0.667 approximately
which shows the two fractions aren't equal and 5/6 is larger.
What is the slope a line perpendicular to the line 2x+4y=8? *
Answers
Answer:
slope of line perpendicular to given equation(m)=2
Step-by-step explanation:
Jim is baking chocolate chip muffins. He has a total of LaTeX: 7\frac{1}{3}7 1 3 cups of chocolate chips. If each batch of muffins uses LaTeX: \frac{2}{3}2 3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake.
Answers
Answer:
Step-by-step explanation:
Total cups of chocolate available = 7 1/3 cups
each batch uses 2/3 of a cup of chocolate
To get the number of batches of muffin Jim can bake, we will use the equality postulate.
1 batch = 2/3 cup of a chocolate
x batch = 7 1/3 cups of chocolate
Cross multiply
2/3 x = 7 1/3
2/3 x = 22/3
cross multiply
2x * 3 = 3 * 22
6x = 66
x = 66/6
x = 11
Hence Jim can bake at most 11 batches of muffins
The car traveled 42.5 miles per gallon of gas. If the gas tank in the car could hold 16.5 gallons, how far can the car travel on one tank of gas? (Don't round answer)
Please, help I am really confused!
Answers
Answer:
2.57575758
Explanation:
42.5 / 16.5
Round 2,767,545 to the nearest ten
Answers
Answer:
2767550
Step-by-step explanation:
There's no difference whatsoever. And so if we round to 2767545 to the nearest ten, it becomes 2767550.
Just look at the picture asap plz
Answers
Answer:
A
Step-by-step explanation:
(SIMPLY) y=-3/4x-3
5x + (x , 3) = 38.4 =?
Answers
x = 9.8
A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?
Answers
Answer:
2450 J
Step-by-step explanation:
mass(m)=25kg
height(h)=10m
gravity(g)=9.8
now,
PE=mgh
=25×10×9.8
=2450J
ANS
Which of the following values are solutions to the inequality x-7< 5?x−7<5?
Answers
Answer:
x>12
Step-by-step explanation:
Answer:
These are = to........so =
how is an equation of the line that passes through the point (2,3) and has a slope of -6 written?
Answers
Answer:
y - 3 = -6 (x-2) or y = -6x + 15
Step-by-step explanation:
y-k = m (x-h)
substitute (2,3) for (h,k):
y-3 = m (x-2)
substitute -6 for m:
y - 3 = -6 (x-2)
Calculate the slope of the line passing through the points (4, 7) and (9, -1).
Answers
the answer is -8/5
ur welcome lolz
Answer:
The slope is -1.6
What is the slope of the line that passes through the points (5,-4) and (7,-4)? write your answer in simplest form
Answers
Answer:
0
Step-by-step explanation:
Because there are two negatives of the same number, we can instantly know that this would be 0.
Answer: 0
on this one it can’t be undefined so put 0 and you will get it correct
Solve for X.Just type the number only, the answer is a positive whole number
Answers
Answer:
7
Step-by-step explanation:
If line l is parallel to line m, therefore:
[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)
Subtract 22 from each side
[tex] 16x + 22 - 22 = 134 - 22 [/tex]
[tex] 16x = 112 [/tex]
Divide both sides by 16
[tex] \frac{16x}{16} = \frac{112}{16} [/tex]
[tex] x = 7 [/tex]
Solve -11h − 27 ≤ 16h for h.
Answers
The Answer:
[tex]h \geqslant - \frac{27}{17} [/tex]
Answer:
h ≥ -1
Step-by-step explanation:
i took a quiz and got it right
hope this helps :)
Identify the equation of a line in point slope from that passes through the points (5,-4) and (-3,2)
Answers
Answer:
y = 3/4x - 1/4
Step-by-step explanation:
The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is
Answers
Answer:
85
Step-by-step explanation:
The range is defined as the difference between the highest observation and lower observation in a data.
Here,
The Highest observation in this data= 91
The Lowest observation in this data=6
Hence,
Range of the data= Highest observation - Lower observation
=91-6=85
Express (31 – 4)(x + 7) - 1x as a trinomial in standard form.
Answers
Answer:
This would be 26 x + 189
A gym charges $8.75 for each swimming class and a one-time registration fee of $12.50. A student paid a total of $56.25. How many swim classes did the student take?
Answers
Answer:
He took 5 swimming classes.
Step-by-step explanation:
The problem states that the student paid a total of $56.25 for the classes and also the one-time registration fee. To find the number of classes, we should first subtract the one-time registration fee from the total.
$56.25 - $12.50 = $43.75
Now that we know he spent a total of $43.75 on the classes without the registration fee, we can divide that number by the cost of one class ($8.75) to calculate the total number of classes he took.
43.75 / 8.75 = 5
Will give brainliest if correct.
Answers
Question in picture solve
Answers
I NEED HELP can someone find the slope from these equations
Answers
y=mx+b with m being slope.
Answers 2, -1/2, and 2/3
Answer:
[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]
Which sets of values belongs to the domain and range of a relation
Answers
full answer:
As we know that
The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.
The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.
As
The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.
The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.
So, in the set of ordered pairs of a relation
8
9
× i need help
5
8
Answers
The answer is going to be 5162.
Answer: 5/9, if I got it right.
Step-by-step explanation:
if you're talking about fractions, here is the work. I am not great at explaining.
Hope this helps!
please help due in 5 mins
What is the probability of landing on an even number? (Write your final answer as a percentage.)
P(event)
Answers
Answer: 1/2 which equals 50%
Step-by-step explanation:
Answer:
0.5 because there are 4 numbers and 2 of them are even so it would be 1/2
Need an answer within an hour i will give brainlist dont write just anything please. thank you
Answers
Answer:
its not a straight line so what is the question ???????? maybe f(-3) = -3f
Step-by-step explanation:
Help it’s an easy question I’m just dumb please help me!
Find the x-intercept of the rational function.
A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)
Please explain how you got your answer. Thanks
Answers
Answer:
c
Step-by-step explanation:
c i think