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Question

Find 4th and 8th terms of the G.P. 0.008,0.04,0.2,.........

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Solution

It is given that the first term of G.P is a1=0.008 and the second term is a2=0.04, therefore,

r=a2a1=0.040.008=5

We know that the formula for the nth term of an G.P is Tn=arn1, where a is the first term, r is the common ratio.

It is given that the first term is a=0.008 and the common ratio is r=5, thus,

T4=0.008×(5)41=0.008×53=0.008×125=1

T8=0.008×(5)81=0.008×57=0.008×78125=625

Hence, T4=1 and T8=625.

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