Question

Like the Fibonacci sequence, a certain sequence satisfies the recurrence relation an=an−1+an−2. Unlike the Fibonacci sequence, however, the first two terms are a1=4 and a2=1.

Find a32.

Answer 1

Heck, just start listing the terms:

4,1,5,6,11,17,28,...

It's not a big job to find the 32nd term.

Answer 2

Definition: An arithmetic sequence is a sequence of the form
a, a + d, a + 2d, a + 3d, a + 4d, …
The number a is the first term, and d is the common difference of the
sequence. The nth term of an arithmetic sequence is given by
an = a + (n – 1)d
The number d is called the common difference because any two consecutive terms of an
arithmetic sequence differ by d, and it is found by subtracting any pair of terms an and
an+1. That is
d = an+1 – an

Answer 3

I don't know