# How do you write the first five terms of the sequence defined recursively a_1=28, a_(k+1)=a_k-4?

Apr 24, 2017

$28 , 24 , 20 , 16 , 12$

#### Explanation:

${a}_{\text{k+1}} = {a}_{k} - 4$

We are told that ${a}_{1} = 28$

Hence ${a}_{2} = 28 - 4 = 24$

Simarlarly, ${a}_{3} = 24 - 4 = 20$

Continuing the sequence:

${a}_{4} = 20 - 4 = 16$

${a}_{5} = 16 - 4 = 12$

Thus, the first five terme are: $28 , 24 , 20 , 16 , 12$