Nth Term Watch

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ZigZag
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#1
Report Thread starter 13 years ago
#1
I've not seen this before, when trying to get an nth term formula...

an^2 + bn + c

What do a, b and c represent?
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El Stevo
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#2
Report 13 years ago
#2
constants
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ZigZag
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#3
Report Thread starter 13 years ago
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(Original post by El Stevo)
constants
So say there was a sequence...

100
210
330
460

How would you apply it?

The example I have here says 95n + 5n^2, but I can't see where the constants came from.
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Jonny W
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#4
Report 13 years ago
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You need three terms of the sequence to work out the three constants.

a + b + c = 100
4a + 2b + c = 210
9a + 3b + c = 330

3a + b = 110
5a + b = 120

2a = 10
a = 5

b
= 110 - 3a
= 95

c
= 100 - a - b
= 0
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