Question 907618: List the first five terms of the sequence.
f(n+1)=2f(n)+n. Where f(1)=1, for n > or = 1
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! First term: 1
This is given when they say f(1) = 1
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Second term
f(n+1)=2f(n)+n
f(1+1)=2f(1)+1
f(2)=2*1+1
f(2)=3
The second term is 3
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Third term
f(n+1)=2f(n)+n
f(2+1)=2f(2)+2
f(3)=2*3+2
f(3)=8
The third term is 8
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Fourth term
f(n+1)=2f(n)+n
f(3+1)=2f(3)+3
f(4)=2*8+3
f(4)=19
The fourth term is 19
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Fifth term
f(n+1)=2f(n)+n
f(4+1)=2f(4)+4
f(5)=2*19+4
f(5)=42
The fifth term is 42
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The first five terms are: 1, 3, 8, 19, 42
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