Question

Find the sum of the arithmetic series 7 + 13 + . . . + 601

a. 30,400
b. 15,200
c. 182,704
d. 60,800​

Answer 1

d (30,400)

Explanation:

The formula for finding the sum of an arithmetic sequence is t
`((t_(1) +t_(1) +d(n-1))/2)n`.

In order to find n, we do the last term minus the first term, divided by the common difference, which is 6. Using this, we can determine that 601 is the 100th number. So 100 is the n. The d stands for difference between each term. t1 just means the first term (7).