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How many terms are there in the GP 5, 20, 80, 320,… 20480?
- a)6
- b)5
- c)7
- d)8
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
How many terms are there in the GP 5, 20, 80, 320,… 20480?a)6b)5...
The series would be 5, 20, 80, 320, 1280, 5120, 20480. Thus, there are a total of 7 terms in the
series. Option (c) is correct.
series. Option (c) is correct.
Most Upvoted Answer
How many terms are there in the GP 5, 20, 80, 320,… 20480?a)6b)5...
Given GP is 5, 20, 80, 320, 20480.
To find the number of terms in the GP, we can use the formula:
an = a1 * r^(n-1)
where an is the nth term, a1 is the first term, r is the common ratio and n is the number of terms.
Let's find the common ratio first:
r = a2/a1 = 20/5 = 4
Now, we can use the formula to find n:
an = a1 * r^(n-1)
20480 = 5 * 4^(n-1)
4096 = 4^(n-1)
Taking the log of both sides:
log(4096) = log(4^(n-1))
log(4096) = (n-1) * log(4)
n-1 = log(4096)/log(4)
n-1 = 6
n = 7
Therefore, there are 7 terms in the given GP.
Hence, the correct answer is option C) 7.
To find the number of terms in the GP, we can use the formula:
an = a1 * r^(n-1)
where an is the nth term, a1 is the first term, r is the common ratio and n is the number of terms.
Let's find the common ratio first:
r = a2/a1 = 20/5 = 4
Now, we can use the formula to find n:
an = a1 * r^(n-1)
20480 = 5 * 4^(n-1)
4096 = 4^(n-1)
Taking the log of both sides:
log(4096) = log(4^(n-1))
log(4096) = (n-1) * log(4)
n-1 = log(4096)/log(4)
n-1 = 6
n = 7
Therefore, there are 7 terms in the given GP.
Hence, the correct answer is option C) 7.
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How many terms are there in the GP 5, 20, 80, 320,… 20480?a)6b)5c)7d)8Correct answer is option 'C'. Can you explain this answer?
Question Description
How many terms are there in the GP 5, 20, 80, 320,… 20480?a)6b)5c)7d)8Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about How many terms are there in the GP 5, 20, 80, 320,… 20480?a)6b)5c)7d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many terms are there in the GP 5, 20, 80, 320,… 20480?a)6b)5c)7d)8Correct answer is option 'C'. Can you explain this answer?.
How many terms are there in the GP 5, 20, 80, 320,… 20480?a)6b)5c)7d)8Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about How many terms are there in the GP 5, 20, 80, 320,… 20480?a)6b)5c)7d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many terms are there in the GP 5, 20, 80, 320,… 20480?a)6b)5c)7d)8Correct answer is option 'C'. Can you explain this answer?.
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