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The nth term for 0;1;4;9

Updated: 10/17/2024

0,1,4,9,16, =

0^2 , 1^2 , 2^2, 3^3, 4^2,

We notice every number is squared '^2'.

The coeffficients of each term are one less that the term number.

Hence

#1 ; 0^2 = ( 1 - 1)^2

#2 ; 1^2 = ( 2- 1)^2

#3 ; 2^2 = ( 3 -1)^2

#4 ; 3^2 = ( 4 -1)^2

So the general rule to find the 'n th' term is

#n ; ( n - 1)^2

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lenpollock

Lvl 16
2y ago

What else can I help you with?