How do you evaluate #\sum _ { i = 1} ^ { 5} 2^ { i }#?

1 Answer
John D.
Mar 26, 2017

#sum_(i=1)^5 2^i = 62#

Explanation:

This is a fairly short sum, so you can actually just add up all of the terms to get your answer.

To add up sums like this, just plug in each value of #i# and add up all of the answers you get.

For this sum, #i# could be #1#, #2#, #3#, #4#, or #5#.

So, plug in each value of #i# and add together all of the answers.

#sum_(i=1)^5 2^i = 2^1 + 2^2 + 2^3 + 2^4 + 2^5#
#color(white)"XXX-" = 2 + 4 + 8 + 16 + 32#

#color(white)"XXX-" = 62#

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