Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions.a2 = 5, a5 = 6.5, n = 16S16

Question

Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions.a2 = 5, a5 = 6.5, n = 16S16
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Solution 1

To find the partial sum S16 of the arithmetic sequence, we first need to find the common difference (d) of the sequence.

The formula for the nth term of an arithmetic sequence is: an = a1 + (n - 1)d

We know that a2 = 5 and a5 = 6.5. We can set up the following equations:

5 = a1 + d (equation 1)

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