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What is the sum of the geometric sequence 1, -6, 36, ... If there are 6 terms? (1 point)

User Saxtheowl
by
4.7k points

1 Answer

10 votes

Answer:

-6665

Explanation:

The given GP is :

1, -6, 36, ...

Number of terms = 6

The sum of n terms of a GP is given by :


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

Here,

a = 1, n = 6, r = 36/-6 = -6

So,


S_6=(1((-6)^6-1))/((-6)-1)\\\\=-6665

So, the sum of th GP is -6665.

User Alejandro Bastidas
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4.5k points