Question

The general term of a sequence is given by an = 7+3 (n − 1) for n > 1.

Which recursive formula defines this sequence?

Answer 1

The fifth term is 8.

Explanation:

Give n=5 in the general term

T 5=3(5)-7 = 15–7 =8

Another method

Tn = 3n - 7

T 1 = 3(1)-7 = -4

T 2 = 3(2) -7= -1

d= t 2 - t 1 = -1 -(-4)=3

a = -4 d=3

Tn = a + (n-1)d =

T 5 = a + (5–1)d = a +4 d = -4 +4(3)= 8