Calculate S30 for the arithmetic sequence defined by {an}={3.1n-2}

a.) 91

b.) 113

c.) 1,381.5

d.) 1,397.5

Question

Howard

Mathematics

8 February, 06:44

Calculate S30 for the arithmetic sequence defined by {an}={3.1n-2}

a.) 91

b.) 113

c.) 1,381.5

d.) 1,397.5

+4

Answers (1)

Know the Answer?

Kylie Montes · Answer 1

c) 1,381.5.

Step-by-step explanation:

First term = 3.1 * 1 - 2 = 1.1

2nd term = 3.1*2 - 2 = 4.2

3rd term = 3.1*3 - 2 = 7.3

so the common difference d = 3.1.

S30 = (30/2) [ 2 * 1.1 + (30-1) * 3.1) ]

= 1,381.5.

Calculate S30 for the arithmetic sequence defined by {an}={3.1n-2}a.) 91b.) 113c.) 1,381.5d.) 1,397.5

Calculate S30 for the arithmetic sequence defined by {an}={3.1n-2}

a.) 91

b.) 113

c.) 1,381.5

d.) 1,397.5