Can it be solved with given?

Number Theory Level 4

Find 100 t h 100th term of Fibonacci sequence if it is given 11 t h , 12 t h , 13 t h 11th,12th,13th terms are 89 , 144 , 233 89,144,233 respectively.

Post your solution so that I can learn new methods from you.And it can be solved with given!


The answer is 354224848179261915075.

Shivamani Patil by shivamani patil , 21, India

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1 solution

Rohan Subagaran
Jul 21, 2015

if you put the Fibonacci​ numbers like this

(1 ) ( 1) 2

(3 ) ( 5 ) 8

13 21 34

.55

You will easily see that An= 4(n-3) +(n-6) 

                                                   34 = 4(8) +2

This does not work for n=4/n=5

Note: n-3 is three terms before N not 3 subtracted from n

1 Helpful 0 Interesting 0 Brilliant 0 Confused

That's nice

Sriram Venkatesan - 5 years, 10 months ago

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