Question

Find the 4th term in the sequence with the following definition: See picture for sequence.

Please need help badly!!

Answer 1

a₄ = - 37

Explanation:

To find the 4 th term using the recursive formula and a₁ = - 2

a₂ = 2a₁ - 3 = 2(- 2) - 3 = - 4 - 3 = - 7

a₃ = 2a₂ - 3 = 2(- 7) - 3 = - 14 - 3 = - 17

a₄ = 2a₃ - 3 = 2(- 17) - 3 = - 34 - 3 = - 37