Question

A sequence starts:

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given the sequence

1, 4, 9, 16, ....

has n th term

$a_{n}$ = n²

(a)

Given the sequence 2, 5, 10, 17, ......

Note the terms are 1 more than the previous given sequence, thus

$a_{n}$ = n² + 1

(b)

Given 2, 8, 18, 32, ......

Note the terms are twice the original given sequence, thus

$a_{n}$ = 2n²