Find the first four terms of the recursive sequence defined by the following formula: an  =  an-14  where  a4  =  2  14  ,    ,    , 2  14

144, 36, 9, 2

Step-by-step explanation:

The recursive formula allows us to find a term in a sequence from the previous term.

Given

=

Given the fourth term we require to work back to the third term , second and so on. Rearrange the formula to give

Multiply both sides by 4, then

= 4

Given a₄ = 2 , then

a₃ = 4 × a₄ = 4 × 2 = 9

a₂ = 4 × a₃ = 4 × 9 = 36

a₁ = 4 × a₂ = 4 × 36 = 144