1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gre4nikov [31]
1 year ago
15

Find the fifth term and the nth term of the geometric sequence whose initial term a, and common ratio r are given.

Mathematics
1 answer:
Goryan [66]1 year ago
5 0

Answer:

a₅ = 80 , a_{n} = 5(2)^{n-1}

Step-by-step explanation:

to find a term in the geometric sequence multiply the previous term by r

a₁ = 5

a₂ = a₁ × 2 = 5 × 2 = 10

a₃ = a₂ × 2 = 10 × 2 = 20

a₄ = a₃ × 2 = 20 × 2 = 40

a₅ = a₄ × 2 = 40 × 2 = 80

the nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

here a₁ = 5 and r = 2 , then

a_{n} = 5 (2)^{n-1}

You might be interested in
Your family loves turkey! Uncle Bill ate 1/4 of the turkey, cousin Chris ate 15% of the turkey, cousin Timmy ate 0.3 of the turk
Sladkaya [172]
(1 / 4) = .25
.25 * 100% = 25%
Uncle Bill ate 25%
Cousin Chris ate 15%
.3 * 100% = 30%
Cousin Timmy ate 30%
Little Dave ate 12%
You ate none.

Cousin Timmy ate the most, 18% of the turkey is left, and 82% of the turkey was eaten.


Defend my work in writing:

I converted my fractions and decimals to percents to find the different percents eaten for each person.
6 0
3 years ago
Find the future value of an ordinary annuity of $80 paid quarterly for 2 years if the interest rate is 7 % compounded quarterly
Neko [114]

Answer:

70

Step-by-step explanation:

4 0
3 years ago
Ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. a 2-column
lana [24]

The equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

<h3>How to determine the equation of the model?</h3>

The partially completed model is given as:

    |  n

    |  n²

5   | 5n  |  40

By dividing the rows and columns, the complete model is:

    |  n    | 8

n   |  n²  |  8n

5   | 5n  |  40

Add the cells, and multiply the leading  row and columns

n² + 8n + 5n + 40 = (n + 8)(n + 5)

This gives

n² + 13n + 40 = (n + 8)(n + 5)

Hence, the equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

Read more about polynomials at:

brainly.com/question/4142886

#SPJ4

7 0
2 years ago
In what base is the sum of 8 and 5 equal to 14?
LuckyWell [14K]
Nothing. It would have to be 5 and 8 to be 13... Not 14 and it would be math. :)
4 0
3 years ago
8−i
GalinKa [24]

Hi Veracity,

Answer:

(2 + i) = 2

Step-by-step explanation:

Multiply the denominator and numerator by the conjugate,

= \frac{(8 - i)(3 + 2i)}{13}

Combine Like Terms,

= \frac{26 + 13i}{13}

Simplify,

= 2 + i

Hope This Helps :)

3 0
3 years ago
Other questions:
  • Find the rate of change in the table​
    15·1 answer
  • Need help solving this problem
    13·2 answers
  • 50 points increased by 26%
    14·2 answers
  • Determine the intercepts of the line.<br><br>8x−5y=−11<br><br>​
    14·1 answer
  • Find the quotient of 48a^4-16a^2-32/8a^2-8
    8·1 answer
  • Can someone help me solve this question I can't seem to manage it
    8·1 answer
  • What is the height of a cubic prism containing 125 cubes
    13·1 answer
  • What is the answer for 2+2?​
    8·2 answers
  • HELPP ASAP PLEASE, WILL GIVE BRAINLIEST !!!!!
    15·1 answer
  • A speed limit of 100 kilometers per hour is approximately equal to 62mph. write an equation relating kilometers per hour to mile
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!