Question
The 8th term of a G.P is eight times of fifth term. What
will be the first term when its 6th is 64?Solution
Let first term is lsquo;arsquo; and common ratio is lsquo;rrsquo; for the given geometric sequence Here given a8 = 8 x a5 and also a6 = 64 rArr; ar8 - 1 = 8 x ar5 - 1 rArr; r7 = 8 x r4 rArr; r = 2 Now take a6 = 64 rArr; ar6-1 = 64 rArr; a25 = 64 rArr; a = 2
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