Question

a recursive function is defined by ca_n=2a_n-1 with a₀=1. find the value of a₃

Answer 1

$$a_0=1$$

$$ca_1=2a_0=>a_1=\dfrac{2}{c}$$

$$ca_2=2a_1=>a_2=\dfrac{4}{c^2}$$

$$ca_3=2a_2=>a_3=\dfrac{8}{c^3}$$