SOLUTION: given f(1)=2 and f(n)=2f(n-1)-1, find f(6)

Algebra.Com
Question 385674: given f(1)=2 and f(n)=2f(n-1)-1, find f(6)
Answer by user_dude2008(1862)   (Show Source): You can put this solution on YOUR website!
f(1)=2
f(2)=2*f(1)-1=2(2)-1=3
f(3)=2*f(2)-1=2(3)-1=5
f(4)=2*f(3)-1=2(5)-1=9
f(5)=2*f(4)-1=2(9)-1=17
f(6)=2*f(5)-1=2(17)-1=33


RELATED QUESTIONS

The function f(n) takes the integers to the real numbers such that f(m + n) + f(m - n) = (answered by CPhill,ikleyn)
If f(n+1)=2f(n)+1for every natural number n and f(1)=3, find f(11). (answered by ikleyn)
if f(1)=3 and f(n)= -2f(n-1) +1, then f(5) =... (answered by jim_thompson5910)
If f(1) = 3 and f(n) = -2f(n-1) + 1, then what is... (answered by greenestamps)
given f(n) = 1/2 n + 1; find... (answered by ikleyn)
Let f be a function defined by f(n)=2f(n-1)+3f(n-2), where f(1)=3 and f(2) = 1.... (answered by ikleyn)
if f(1)=5 and f(n)=-2f(n-1)+2 then what is the value of... (answered by MathLover1)
The function f satisfies f(m + n) = f(m) + f(n) - 2f(mn + m + n + 1) + m^2 + n^2 for... (answered by CPhill)
if f (1) = 6 and f (n)= f (n-1) + 2 then find the value of f... (answered by MathLover1)