Question
Download Solution PDF4th term of a G. P is 8 and 10th term is 27. Then its 6th term is?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Let us consider sequence a1, a2, a3 …. an is a G.P.
- Common ratio = r =
- nth term of the G.P. is an = arn−1
- Sum of n terms = s =
; where r >1 - Sum of n terms = s =
; where r <1
Calculation:
Given:
4th term of a G. P is 8 and 10th term is 27
nth term of the G.P. is Tn = a rn-1
∴ T4 = a. r3 = 8 ----(1)
T10 = a r9 = 27 ----(2)
Equation (2) ÷ (1), we get
∴
T6 = a r5
= a r3.r2
= 12
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