1,5,11,19 (a) calculate next two patterns (b) calculate the nth term of the pattern (c)which term of the pattern is equal to 2549. thanks a lot

4 answers

a. 29, 41

This is because the pattern is going up by 2's (4, 6, 8...) therefore the next in line is 10 and 12. Hence the answers 29 and 41.
The differences are 4,6,8,10,12,...
The 2nd differences are 2,2,2,...

That means it's a quadratic.

a+b+c = 1
4a+2b+c = 5
9a+3b+c = 11

Looks like

An = n^2+n-1

So, when is

n^2-n-1 = 2549
n^2-n-2550 = 0
(n+50)(n-51) = 0

Looks like A51 = 2549
This is a big of help
how can you calculate the first term in A P
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