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3 years ago

Find the sum of the geometrical equation -3 , 18 , -108 , if there are 7 terms

Mathematics

1 answer:

harina [27]3 years ago

3 0

Hello from MrBillDoesMath!

Answer:

Sum = -119,962 ( I hope!)

Discussion:

Let's determine the pattern.

first term: -3

2nd term: (-3) * (-6) = 18 (multiply first term by -6)

3rd term: (18) * (-6) = -108 (multiply 2nd term by -6)

4th term : (-108)*(-6) = 648 ( etc)

5th term : (648)*(-6) = -3888 (etc)

6th term : (-3888)*(-6) = 23328 (etc)

7th term: (23328)*(-6) = -139967 (etc)

Sum = -119,962

A simpler way to do this is to use the formula for the sum of a geometric series to n terms. The series is

-3 Sum ( -6)^n n = 0, 1, 2, 3, 4, 5, 6

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

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