Question

If kth term of the G.P: 0.28, 1.4, 7, 35...,,... is 4375, then k= ______________.

Answer 1

abcdefghijklmnopqrstuvwxyz

Answer 2

$\huge\underline\mathtt\blue{Solution}$

$(0.28) \times {5}^{k - 1} = 4375 \\ \\{5}^{k - 1} = \frac{4375 \times 100}{28} \\ \\ {5}^{k - 1} = \frac{7 \times625 \times 100 }{7 \times 4} \\ \\ {5}^{k - 1} = {5}^{4} \times {5}^{2} = {5}^{6} \\ \\ k = 7$

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