Question

Given the sequence -14,-6,-2,0,1 find the recursive formula

Answer 1

`u_(2) = u_(1) + 8 \\ u_(3) = u_(2) + 4 \\ u_(4) = u_(3) + 2 \\ u_(5) = u_(4) + 1 \\ u_(6) = u_(5) + 0.5 \\ ....`

`u_(2) = u_(1) + 2 {}^(3) \\ u_(3) = u_(2) + 2 {}^(2) \\ u_(4) = u_(3) + 2 {}^(1) \\ u_(5) = u_(4) + 2 {}^(0) \\ u_(6) = u_(5) + 2 {}^( - 1) \\ ....`

`u_(n + 1) = u_(n) + 2 {}^(4 - n)`