Given the Arithmetic sequence A1, A2, A3, A4

62, 74, 86, 98

What is the value of A33?

The value of A33 = 398 ...

Step-by-step explanation:

Given:

The Arithmetic sequence A1, A2, A3, A4,62, 74, 86, 98

What is the value of A33?

T (n) = a + (n-1) d

where d = 12

n = 8

T (8) = a + (8-1) * 12

T (8) = a+7*12

T (8) = a + 84 = 98

a=98-84

a = 14

Now,

T (33) = 14 + (33-1) * 12

=14 + (32) * 12

= 14+384

T (33) = 398

The value of A33 = 398 ...