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
swat32
3 years ago
10

The sum of the 1st nth term of a geometric series is 127.the sum of the reciprocal is 127/64,if the 1st term is 1.find n and the

common ratio
Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

Common ratio = 2

n = 7

Step-by-step explanation:

The formula for the sum of the nth term of a Geometric Progression is given as:

Sn = a(1-r^n)/(1-r)

Where n = Number of terms

r = Common ratio

The sum of the 1st nth term gp is 127.

Hence:

127 = 1(1-r^n)/(1-r)

The sum of the reciprocal is 127/64

This means the inverse, the formula is given as:

Sn = 1/a(1-r^n)/(1-r)

127/64 = 1(1-1/r^n)/(1-1/r)

= r^(1-n)(1-r^n)/(1-r)

Simplifying we have:

1/64 = r^(1-n)

or,

r^(n-1) = 64

r^(n-1) = 2⁶

Hence:

r = 2

Solving for n

n - 1 = 6

n = 6 + 1

n = 7

Therefore:

Common ratio = 2

n = 7

You might be interested in
Solve: y = -7(-13).<br> GIVING BRAINLIST HURRY UP!!!
sesenic [268]

Answer:

The answer is 91

Step-by-step explanation:

~Hoped this helped~

5 0
3 years ago
What is 692,040 rounded to nearest hundred
Leviafan [203]

it would be 692,000 even though it may look odd since the place holder for 100 is a 0

8 0
3 years ago
The answer is not as follows about this PI PROBLEM:
Tema [17]

Answer:19.625

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Please help<br> With this math
pshichka [43]
The answer is certainly c because i did that and got it right
7 0
3 years ago
What is 12 ÷ 1 1/5 ?
masya89 [10]

Answer:

10

Step-by-step explanation:

12 ÷ 1 1/5

Change to an improper fraction

12 ÷ ( 5*1+1)/5

12 ÷ 6/5

Copy dot flip

12 * 5/6

12/6 * 5

2*5

10

3 0
3 years ago
Read 2 more answers
Other questions:
  • Combine like terms to create an equivalent expression.<br> 3.26d+9.75d−2.65
    14·2 answers
  • An art gallery is a 6 story square pyramid with base are 1/2 acre ( 1 acre =n4840 yd, 1 story = 10ft) . Estimate the volume in c
    12·1 answer
  • Is PQR=STU if so name the congruence postulate that applies
    14·2 answers
  • A bee flies 15 miles per hour. Use the formula for distance, rate, and time to answer questions A-C. A. Write the bee's distance
    7·1 answer
  • ANSWER ASAP
    10·1 answer
  • You work 40 hours per week and spend 5 hours per week commuting to and from work. Your friend works 56 hours per week and spends
    14·1 answer
  • Answer the following questions.
    8·1 answer
  • Kelly and Jack bought tickets to the opera. Each ticket cost $45.00 and there was an 8% sales tax on the total order. How much d
    11·1 answer
  • What is the solution to the equation 4 + 3/2y = 6?
    11·2 answers
  • HELP PLZZZ THERE IS NO ANSWER CHOICES MARKING BRAINLIEST
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!