Question

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?

–7
–1
1
7

Answer 1

nxt term wiil be -1

∵f(n+1)=f(n)+3
or,f(n)+f=f(n)+3

so, f= 3
∴ -4+3= -1

Answer 2

The next term of the given sequence is -1.

Solution:

That the Given condition is,  

F (n+1) = F (n) + 3.

Let n = 0, such that F (1) = F (0) +3. Let us assume the given series number as the integers and series starts from 0 onwards. Such that, the starting number as F (0) = -4. So that, next term would be F (1).

F (1) = F (0) +3

       = -4+3

        = -1.

Therefore the value of next term in the sequence is -1.