A recursion formula and the initial term of a sequence are given. Write out the first five terms of the sequence. a Subscript fo

Question

Brums [2.3K]

3 years ago

7

A recursion formula and the initial term of a sequence are given. Write out the first five terms of the sequence. a Subscript fo

nt size decreased by 1 1equals6, a Subscript n plus font size decreased by 1 1equalsminusa Subscript n

Mathematics

1 answer:

Lelu [443] · Answer 1 · 2022-05-20T05:19:10+03:00

Lelu [443]3 years ago

4 0

Answer:

6, -6, 6, -6 and 6.

Step-by-step explanation:

Given the recursion formula for a sequence

$a_{n+1}=-a_n\\$where a_1=6\\$

The first five terms of the sequence are:

$\text{First Term, }a_1=6\\$Second Term, a_2=a_{1+1}=-a_1=-6\\$Third term, a_3=a_{2+1}=-a_2=6\\$Fourth term, a_4=a_{3+1}=-a_3=-6\\$Fifth term, a_5=a_{4+1}=-a_4=6$

Therefore, the first five terms of the sequence:

$a_1,a_2,a_3,a_4,a_5=6, -6, 6, -6$ and 6.$