+91-87964 74404
FlagBACK
Question icon
Grade Select GradeDifferential Calculus

  1. IF F(n + 1) = 2F(n) +1/2( WHOLE DIVIDED BY 2) , WHERE n=1,2,3..... AND F(1)=2 , THEN THE VALUE OF F(11)=?

Profile image of Bharat Makkar
11 Years agoGrade Select Grade
Answers icon

1 Answer

Profile image of Jitender Singh
11 Years ago
Ans:
Hello Student,
Please find answer to your question below

F(n+1) = \frac{2F(n)+1}{2}
n = 1
F(1+1) = \frac{2F(1)+1}{2}
F(2) = \frac{2(2) + 1}{2} = \frac{5}{2}
F(n+1) = F(n) + \frac{1}{2}
F(n+1) - F(n) = \frac{1}{2}
So it form an AP with a common difference of ½.
2,\frac{5}{2},3,\frac{7}{2},.............
F(11) = F(1) + 10d
F(11) = 2 + 10.\frac{1}{2}
F(11) = 2 + 5 = 7

Other Related Questions on differential calculus

question mark
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to  move once over to level a playground. find the area of the playground in square m?
differential calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
Find dy/DX when y=x^sinx+sin-1√x.
 
Please give me the solution of this problem. 
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
1 Answer Available

Last Activity: 4 Years ago