Question

For the arithmetic sequence beginning with the terms {11, 17, 23, 29, 35 ...}, what is the sum of the first 17 terms?

a.)
1003

b.)
1116

c.)
896

d.)
1235

Answer 1

a.) 1003

Explanation:

The formula to find the sum of an arithmetic sequence: Sn = n/2[2a + (n - 1)d], where a is the first term, n is the number of terms and d is the common difference.

1) Let's substitute the values into the formula.

S17 = 17/2[2(11) + (17 - 1)6]

S17 = 17/2[22 + (16)6]

S17 = 17/2[22 + 96]

S17 = 17/2[118]

S17 = 17/2 × 118

S17 = 1003

Therefore, the sum of the first 17 terms of this arithmetic sequence is 1003 (a).