The product of the first three terms of a geometric series is - 8. Find its second term.
Answers
Given : Product of first three terms of a GP is -8.
To find : The second term
Solution :
A GP or geometric progression is a sequence of numbers in which the common ratio between two consecutive terms is always same.
Let's assume that the first three terms of the GP be a/r, a and ar.
Here,
- a = First term
- r = Common ratio
Therefore according to the question, product of these terms is -8.
=> a/r × a × ar = -8
=> a³ = -8
=> a = -2
Therefore second term = a = -2.
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