Question

If the sum of the first 4th and 5th term is 24. and sum of 7th and 8th term is 192. find the common ratio of the Gp

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Answer 1

Answer: r = 2

Step-by-step explanation:

fourth term + fifth term = 24

ar^3 + ar^4 = 24

ar^3(1 + r) = 24

(1 + r) = 24/ar^3 ________( I )

Seventh term + eighth term = 192

ar^6 + ar^7 = 192

ar^6(1 + r) = 192

Put value of (1 + r) from ( I )

ar^6 (24/ar^3) = 192.

r^3 = 192/24

r^3 = 8

So, r = 2

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