Question

Find the 107 terms of sequence -9,-5,-1,3,7​

Answer 1

415

Explanation:

the nth term of the sequence is -13 + 4n

the sequence is an arithmetic progression with nth term a + (n - 1)d

a = -9, d = a5- a4 = 7 -3 =4

nth = -9 + (n -1) 4

= -9 + 4n -4

= -13 + 4n

hence the 107th term; -13 + 4*107

-13 + 428 = 415