Question

Here are the first five terms of a sequence.

3
8 17
30
47
Find an expression, in terms of n, for the nth term of this sequence.
Help

Answer 1

Explanation:

3 to 8= 5

8 to 17= 9

17 to 30= 13

30 to 47= 17

47 to 68= 21

68 to 93= 25

93 to 122= 29

122 to 155= 33

155 to 192= 37

difference is 4

solve by

`2 {n}^(2) - n + 2 \\ 2 {(9)}^(2) - 9 + 2 \\ 2(81) - 9 + 2 \\ 162 - 9 + 2 \\ 153 + 2 = 155`