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:

Question

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 …

in progress 0
Arianna 3 months 2022-02-15T06:08:18+00:00 1 Answer 0 views 0

Answers ( )

  1. Arianna
    0
    2022-02-15T06:09:36+00:00
    Reply

    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

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )