SOLUTION: find the sum of the first 14 terms for 1+4 +16 + 64+.... I need help on how to set this up and how to work it out and someone could walk me through this it would great
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Question 986820: find the sum of the first 14 terms for 1+4 +16 + 64+.... I need help on how to set this up and how to work it out and someone could walk me through this it would great Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! 1+4 +16 + 64+....
number of terms = 16
first term = 1
we get the next term by multiplying by a factor of 4
so 4 is called the common rato of the consecutive terms
hence this is a geometric sequence
the formula for sum of n terms of a geometric sequence is
Use this formula:
a is the first term
r is the "common ratio" between terms
n is the number of terms
Sum of 16 terms=