A partial sum of an arithmetic sequence is given. Find the sum. 22(7 − 8n)n = 0 S =
Question
A partial sum of an arithmetic sequence is given. Find the sum.
Solution
The given equation is 22(7 - 8n)n = 0. This equation is equal to zero when n = 0 or 7 - 8n = 0.
Let's solve for n:
7 - 8n = 0 8n = 7 n = 7/8
So, the possible values for n are 0 and 7/8.
The sum of an arithmetic sequence is given by the formula S = n/2 * (a + l), where n is the number of terms, a is the first term, and l is the last term.
In this case, we don't have enough information to find the first and last terms of the sequence. We need more information about the sequence to find the sum.
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