Recurrence Evaluation 007

Probability Level 1

Evaluate the following recurrence relation, G k G_k at k = 7 k=7 :

G k = G k − 2 + 2 ( G k − 4 ) − 2 G_k= G_{k-2} + 2 (G_{k-4}) - 2

G 1 = 2 , G 2 = − 1 , G 3 = 4 , G 4 = 1 G_1= 2, \hspace{5 mm} G_2= -1, \hspace{5 mm} G_3= 4, \hspace{5 mm}G_4= 1

Image Credit: Flickr Tamara .


The answer is 12.

Zandra Vinegar by Zandra Vinegar

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Azadali Jivani
Aug 13, 2015

G(7) = G(5) + 2G(3) - 2 = 6 + 2 * 4 - 2 = 12(Ans.)

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Alan Yan
Aug 10, 2015

Just find G 5 G_5 , then find G 7 G_7 .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...