Question

which term of series 1,2,4......is 2048​

Answer 1

Step-by-step explanation:

Given series is: 1, 2, 4,........

$\because \: \frac{4}{2} = 2 \\ \& \: \frac{2}{1} = 2 \\ \therefore \: it \: is \: in \: gp \: where \\ \: \: \: \: \: r = 2 \: \& \: a = 1 \\ now \: by \: n^{th} \: term \: of \: gp \: we \: have \\t_n=ar^{n-1}\\</p><p>\therefore 2048=1 \times 2^{n-1}\\ \therefore 2^{11}=2^{n-1}\\</p><p>\therefore 11 = n-1\\</p><p>\therefore 11 +1= n\\</p><p>\huge \fbox {\therefore n = 12}$

So, $12^{th}$ term of given series would be 2048.