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natta225 [31]
3 years ago
8

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

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

-6665

Step-by-step 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=\dfrac{a(r^n-1)}{r-1}

Here,

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

So,

S_6=\dfrac{1((-6)^6-1)}{(-6)-1}\\\\=-6665

So, the sum of th GP is -6665.

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