Find the sum of the first n terms of the following arithmetic sequence: 8, 17, 26, ... ; n = 25
A) 2,900
B) 2,988
C) 2,854
D) 2,839

Question

Quizplus · Accepted Answer

The common difference between the terms is 9. The first term is 8. The sum of the first n terms of an arithmetic sequence is given by the formula:Sn = n/2 * (2a + (n-1)d)where a is the first term, d is the common difference, and n is the number of terms.Substituting the given values into the formula, we get:S25 = 25/2 * (2 * 8 + (25-1) * 9)= 25/2 * (16 + 216)= 25/2 * 232= 2,900Therefore, the sum of the first 25 terms of the arithmetic sequence is 2,900.

Find the Sum of the First N Terms of the Following