SOLUTION: List the first five terms of the sequence.
f(n+1)=2f(n)+n. Where f(1)=1, for n > or = 1
Algebra.Com
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
-------------------------------------------------------
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
-------------------------------------------------------
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
-------------------------------------------------------
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
-------------------------------------------------------
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
-------------------------------------------------------
The first five terms are: 1, 3, 8, 19, 42
RELATED QUESTIONS
Given the formula f(n) = 3(-1)n find the first 5 terms of this... (answered by fractalier)
Suppose that a sequence is defined as follows.
a[1] = -1 , a[n] = -3a[n-1]+6 for n... (answered by ewatrrr,solver91311)
Find the first three terms of f(n + 1) = f(n) + 8, if f(1) = 27.
(answered by ewatrrr)
write the first 5 terms in this sequence f(n)=5(1/2)^n
(answered by jim_thompson5910)
Write the first five terms of the follownig sequence.
a sub n = n + 1/ n with the... (answered by venugopalramana)
Find the first five terms of the sequence.
a(1) =4, a(n+1) =a(n)... (answered by Alan3354)
List the first four terms of the sequence defined by an =(n + 1)!/2n for for n is greater (answered by stanbon)
find the first five values of the recursive function
f(1)= 5; f(n) = f(n-1) +... (answered by stanbon)
If a sequence is defined recursively by f(0)=2 and f(n+1)=-2f(n)+3 for n>or=0
then f(2)... (answered by greenestamps)