Question

in a gp the first term is -2 and the common ratio is -5 then what is the sequence ( upto 3 terms )​

Answer 1

Answer:

Sequence = - 2, 10, - 50

Explanation :

Refer the attached picture.

Answer 2

Given,,

First term (a) = -2

common ratio (r) = -5

We know,

${n}^{th} \: term = ar^{n - 1}$

Hence,

${1}^{st}term = (-2) \times( - 5)^{1 - 1} \\ = ( - 2)$

${2}^{nd}term = ( - 2)\times( - 5) ^{2 - 1} \\ = 10$

${3}^{rd}term = ( - 2)( - 5)^{3 - 1} \\ = - 50$

Thus the sequence up to third is (-2),(10),(-50)...