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3 years ago

13

Write the sum using summation notation, assuming the suggested pattern continues. 2 - 8 + 32 - 128 + ...

1 answer:

erma4kov [3.2K]3 years ago

4 0

This is a geometric series with first term 2 and common ratio -4. The general term of such a series (an) in terms of the first term (a1) and common rato (r) is written as
an = a1*r^(n-1)

The sum is the sum of such terms.
$sum=\sum\limits_{n=1}^{\infty}{2(-4)^{(n-1)}}$

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$\large\boxed{\text{70 seconds}}$

Use a proportion to find how many seconds are needed to fold 5 shirts.

We are given that he takes 28 seconds to fold 2 shirts:

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