Find the 110th term of the sequence -7, 3, 13, 23

Solution:

The given sequence is an arithmetic series with

First term a = 15

The common difference d = 3 - (-7) = 13 - 3 = 23 -13 = 10

The nth term of an arithmetic series is given by the expression:

T_n = a + (n-1)d

T = -7 + (110 - 1)(10)

T₁₁₀ = -7+ 109 (10)

T₁₁₀ = 1090 - 7 = 1083

T₁₁₀ = 1083

Find the 110th term of the sequence -7, 3, 13, 23

Summary:

The 110th term of the sequence -7, 3, 13, 23 is 1083