Sums of Arithmetic and Geometric Sequences Determine whether the expression is a partial sum of an arithmetic or geometric sequence. Then find the sum.
Whether the expression is partial sum of arithmetic or geometric sequence. Then find the sum.
The expression is given as,
Check if the terms in the expression have a common difference or a common ratio.
The summation can be expanded as:
Calculate the common difference.
So there is no common difference.
Calculate the common ratio.
This proves that the given expression is a partial sum of a geometric sequence with first term , common ratio,
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