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Please explain how and why ar^k * (1-r)=-ar^(k+1)

Thank you for the help!

 Sep 27, 2016
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Expand the following:
a r^k (1-r) = -a r^(k+1)

a r^k (1-r) = a r^k×1+a r^k (-r):
a r^k-a r^k r = -a r^(k+1)

a r^k (-r) = a r^(k+1) (-1):
Answer: |ar^k+-ar^(k+1) = -ar^(k+1)

 Sep 27, 2016

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