Question

which term are there in the GP 1,1/2,1/4,1/8 will be1/512
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Answer 1

Answer:

10 the term

Step-by-step explanation:

$a = 1 \\ \\ a {r}^{2} = \frac{1}{2} \\ \\ r = \frac{1}{2} \\ \\ \frac{1}{512} = a {r}^{n - 1} \\ \\ \\ \\ {r}^{n - 1} = \frac{1}{512} \\ \\ {( \frac{1}{2} )}^{n - 1} = { (\frac{1}{2} )}^{9} \\ \\ n - 1 = 9 \\ \\ therefore \: \: n = 10 \\ \\ hence \: \frac{1}{512} \: is \: the \: 10th \: \: term \: of \: this \: series$