Quant Exam > Quant Questions > If the fifth term of a GP is 81 and first ter...
Start Learning for Free
If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?
- a)36
- b)18
- c)54
- d)24
- e)27
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the fifth term of a GP is 81 and first term is 16, what will be the...
5th term of GP = ar5-1 = 16*r4 = 81;
Or, r = (81/16)1/4 = 3/2;
4th term of GP = ar4-1 = 16*(3/2)3 = 54.
Most Upvoted Answer
If the fifth term of a GP is 81 and first term is 16, what will be the...
Given:
- Fifth term of a GP = 81
- First term of the GP = 16
To find:
- Fourth term of the GP
Formula:
- nth term of a GP = a*r^(n-1)
where a is the first term, r is the common ratio, n is the term number
Approach:
- We have the value of the fifth term and the first term
- Using the formula above, we can find the common ratio
- Once we have the common ratio, we can find the fourth term using the same formula
Solution:
- Let's find the common ratio
- 81 = 16*r^(5-1)
- 81/16 = r^4
- r = (81/16)^(1/4) ≈ 1.5
- Now, let's find the fourth term
- fourth term = 16*r^(4-1)
- fourth term = 16*1.5^3 = 54
Therefore, the fourth term of the GP is 54. Option C is the correct answer.
- Fifth term of a GP = 81
- First term of the GP = 16
To find:
- Fourth term of the GP
Formula:
- nth term of a GP = a*r^(n-1)
where a is the first term, r is the common ratio, n is the term number
Approach:
- We have the value of the fifth term and the first term
- Using the formula above, we can find the common ratio
- Once we have the common ratio, we can find the fourth term using the same formula
Solution:
- Let's find the common ratio
- 81 = 16*r^(5-1)
- 81/16 = r^4
- r = (81/16)^(1/4) ≈ 1.5
- Now, let's find the fourth term
- fourth term = 16*r^(4-1)
- fourth term = 16*1.5^3 = 54
Therefore, the fourth term of the GP is 54. Option C is the correct answer.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer?
Question Description
If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer?.
If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer?.
Solutions for If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the fifth term of a GP is 81 and first term is 16, what will be the 4thterm of the GP?a)36b)18c)54d)24e)27Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup