SOLUTION: Find the first 10 terms of each sequence: An=An-1+2xAn-2 A1 = 1 A2 = 5

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Question 161287: Find the first 10 terms of each sequence:
An=An-1+2xAn-2
A1 = 1 A2 = 5
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the next few, you pick it up from there and do the rest. You are given
a[x] = a[x-1] + 2* a[x-2]
a%5B1%5D+=+1
a%5B2%5D+=+2
To find a%5B3%5D
a[x] = a[x-1] + 2*a[x-2]
a[3] = a[3-1] + 2*a[3-2]
a%5B3%5D+=+a%5B2%5D+%2B+2%2Aa%5B1%5D
a%5B3%5D+=+2+%2B+2%2A1
a%5B3%5D+=+4

To find a%5B4%5D
a[x] = a[x-1] + 2*a[x-2]
a[4] = a[4-1] + 2*a[4-2]
a%5B4%5D+=+a%5B3%5D+%2B+2%2Aa%5B2%5D
a%5B4%5D+=+4+%2B+2%2A2
a%5B4%5D+=+8
and so on. On each iteration, you bump the number s up by one. You then need the previous two answers in order to solve for the new x.