Question 6

The fifth term of the sequence for which $$t_{1}=1$$, $$t_{2}=2$$ and $$t_{n+2}$$ = $$t_{n}+t_{n+1}$$, is

Solution

$$t_{1}=1$$, $$t_{2}=2$$

$$t_{n+2}$$ = $$t_{n}+t_{n+1}$$

put n=3, then $$t_{5}$$ = $$t_{3}+t_{4}$$

$$t_{3}$$ = $$t_{1}+t_{2}$$ = 1+2 = 3

$$t_{4}$$ = $$t_{2}+t_{3}$$ = 2+3 = 5

$$t_{5}$$ = $$t_{3}+t_{4}$$ = 3+5 = 8

so the answer is option D.

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: