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.
Find the common difference.
So there is a common difference of .
This proves that the given expression is a partial sum of an arithmetic sequence with first term , common difference,
The term in this arithmetic sequence is
We set this equal to to compute number of terms in the expression.
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