Here are the first 5 terms of a sequence 3,8,17,30,47 find an expression, in terms of n for the nth term of this sequence

The first differences are 5, 9, 13, 17, and so the second differences are all 4.

Halving 4 gives 2, so the first term of the sequence is 2n^2.

Subtracting 2n^2 from the sequences gives 1,0,-1-2,-3 which has the nth term -n+2.

Therefore, the formula for this sequence is 2n^2 -n +2.

2n^2 - n +2

Step-by-step explanation:

3,8,17,30,47

this is the final form I got after playing for a while:

tested in excel and works:

12345678910

381730476893122155192

if x decreases by 4 then y increases by 10

step-by-step explanation:

`1234567890-=/*-qwertyuiop[]asdfghjkl; '\\zxcvbnm,./+ /