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sashaice [31]
3 years ago
7

Write the sum using summation notation assuming the suggested pattern continues 9-18+36-72

Mathematics
2 answers:
IgorC [24]3 years ago
5 0
I think it is 45 sorry if its wrong
Licemer1 [7]3 years ago
3 0
Let's first work out the pattern. Since it's an geometric progression, we can find the sum to n terms of the pattern.

S_n = \frac{a(r^n - 1)}{r - 1}
S_n = \frac{9((-2)^n - 1)}{-3}
S_n = -3((-2)^n - 1)

Now that we've developed our geometric progression, we can start to add sigma notation.

k
∑(-3[(-2)^n - 1])
n = 1
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