contestada

A sequence starts:
1, 4, 9, 16 ...
The nth term is n^2
Use this fact to find the nth term of the following sequences:
a)2, 5, 10, 17 ...
b)2, 8, 18, 32 ...

Respuesta :

Answer:

see explanation

Step-by-step explanation:

Given the sequence

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

has n th term

[tex]a_{n}[/tex] = n²

(a)

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

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

[tex]a_{n}[/tex] = n² + 1

(b)

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

Note the terms are twice the original given sequence, thus

[tex]a_{n}[/tex] = 2n²