How many terms are in arithmetic sequence whose first term is - 3, common difference is 2, and last term is 23

Question

Mathematics

Adriel Hatfield

1 March, 23:05

How many terms are in arithmetic sequence whose first term is - 3, common difference is 2, and last term is 23

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Answers (1)

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Michelle Walsh · Answer 1

A = - 3,

d = 2,

last term, l = 23

a + (n - 1) * d

23 = a + (n - 1) d

23 = - 3 + (n - 1) 2

23 + 3 = 2 (n - 1)

26 = 2 (n - 1)

2 (n - 1) = 26

n - 1 = 26/2

n - 1 = 13

n = 13 + 1

n = 14

There are 14 terms.