Question

check whether -256 is a term of G.p -4,-8,-16-------​

Answer 1

- 4 - 8, - 16............. Are in GP where first term of the GP=a=-4, and common ratio of this GP = r= 2.

Firstly let us assume that - 256 is a term of this GP.

so

$a_n=-256$

so

$a {r}^{n - 1} = a_n=-256 \\ \implies - 4 \times {2}^{n - 1} = - 256 \\ \implies \: {2}^{n - 1} = 64 \\ \implies {2}^{n - 1} = {2}^{6} \\ \implies \: n - 1 = 6 \\ \implies \: n = 7$

As perfect value of an can be calculated show - 256 is the term of GP and the term is 7th term.

Answer 2

yes - 256 is a term of GP and the term is 7th term