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velikii [3]
3 years ago
6

2. Evaluate the geometric series given a = -120, r = 0.5 and n = 6

Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0

Here we're discussing the "nth partial sum of a geom series."

                                                       1 - r^n

The formula for that is s(n) = a(1) --------------- 

                                                         1-r

We can subst. the given values and see where that takes us:

                  1 - (-2)^6        1 - 64

105 = a(1)*---------------- = ----------*a(1)  =  -21*a(1)

                    1-(-2)                3

                                              105

Solving this for a(1):  a(1) = --------- = -5    (answer)

                                              -21

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