1 Answer

Crytrus · Answer 1 · 2021-04-20T09:41:26+0000

Explanation:

The given GP is : -0.5+1.5-4.5........

It is required to find the sum of 45 terms of GP.

From this GP, first term is (-0.5).

Common ratio is,
r=(1.5)/(-0.5)=-3

The formula use to find the sum of n terms of a GP is given by :

S_n=(a(1-r^n))/(1-r),r<1

Substituting all values in above formula :

S_(45)=((-0.5)(1-(-3)^(45)))/(1-45)

$S_(45)=(1)/(88)\cdot\left(1-\left(-3\right)^(45)\right)$

Hence, this is the required solution.

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