For the arithmetic sequence beginning with the terms {5, 6, 7, 8, 9, 10...}, what is the sum of the first 17 terms?221243200187
Question
For the arithmetic sequence beginning with the terms {5, 6, 7, 8, 9, 10...}, what is the sum of the first 17 terms?221243200187
Solution
The sum of an arithmetic sequence can be found using the formula:
Sum = n/2 * (a + l)
where: n = number of terms a = first term l = last term
In this case, the arithmetic sequence starts with 5 and has a common difference of 1. So, the 17th term would be 5 + (17-1)*1 = 21.
Now, we can substitute these values into the formula:
Sum = 17/2 * (5 + 21) = 221.
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