TCS
Company
Numerical Ability
Number System
sum of fibonacci numbers1,6,7,13,20.... upto 52 terms?
Read Solution (Total 4)
-
- Observing the sequence 1, 6, 7, 13, 20 and so on,
It can be re-written as 1, (1+5), (2+5), (3+10), (5+15), (8+25), and so on.
The sequence thus decomposes into sum of two standard Fibonacci sequences,
1, 1, 2, 3, 5, 8, 13 up to 52 terms and 5*(1, 1, 2, 3, 5, 8, 13 up to 51 terms).
So the sum is given as : Sum of 52 terms of the standard Fibonacci series + 5*Sum of 51 terms of the standard Fibonacci series. Which is equivalent to 6*Sum of 51 terms in the standard Fibonacci series + the 52th term. And since sum of n terms of a fibonacci series is given as F(n+2)-1,
The sum should be 6*{F(53)-1}+F(52) = F(52) + 6*F(53) - 6. - 9 years agoHelpfull: Yes(3) No(0)
- SUM OF N TERMS OF FIBBONICA SERIES WILL BE(n+2-1)FIBONNICA NUMBER
EG:
LET FS BE:
1 6 7
SUM OF IST TWO NUMBERS WILL BE THE THIRD NUMBER ACCORDING TO THE FORMULA
SO HENCE 7 - 10 years agoHelpfull: Yes(2) No(26)
- What is the corrct Ans??
- 9 years agoHelpfull: Yes(0) No(0)
- kindly post the right formula..
- 9 years agoHelpfull: Yes(0) No(0)
TCS Other Question