Home
Class 14
MATHS
The fifth term of the sequence for which...

The fifth term of the sequence for which `t_1= 1, t_2 = 2 and t_(n + 2) = t_n + t_(n + 1)` is

A

5

B

10

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
D

`t_3 = t_(1+2) =t_1 + t_2 =1+2=3`
`:. t_5 = t_(2+3) = t_2 + t_(2+1) = 2+3=5`
`:. t_5 = t_(3+2) = t_3 +t_4 =3+5 =8`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the first five terms of the sequence for which t_(1)=1,t_(2)=2 and t_(n+2)=t_(n)+t+(n+1)

The 5th terms of the sequence defined by t_(1)=2,t_(2)=3 and t_(n)=t_(n-1)+t_(n-2) for nge3

Write the second term of the sequence t_(n) = 2n + 1 .

Write the first two terms of the sequence (i) t_(n) = 3n-6 (ii) t_(n) = (1)/( n^(2)) - 1

What is the 15 th term of the sequence defined by t_(n)=(1)/(2n-10)

The largest term is the sequence T_(n) = n/(n^(2)+100) is

Let T_(n) be the n^(th) term of a sequence for n=1,2,3,4... if 4T_(n+1)=T_(n) and T_(5)=(1)/(2560) then the value of sum_(n=1)^(oo)(T_(n)*T_(n+1)) is equal to