SOLUTION: What is the sigma notation of these series 6-12+24-48+96-192

Question 1205367: What is the sigma notation of these series 6-12+24-48+96-192
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Answer:

Explanation

The sequence 6, -12, 24, -48, 96, -192 is geometric with
a = 6 = first term
r = -2 = common ratio
We start with 6 and double each term, along with change the sign from positive to negative or vice versa.

In general the nth term of a geometric sequence is
In this case the nth term is
When forming the answer shown above, I used k as the index. But you could use any variable really.
We stop at index k = 6 because or just note how -192 is the 6th term.
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