Question

12, 42, 72, 102..... Explicit Formula an = 30 + 12 ( n - 1 )an = 42 + 12 ( n - 1 ) an = an-1 + 12 an = 12 + 30 ( n - 1 )

Answer 1

the given series is,

12, 42, 72, 102.

first term a = 12

common difference = 42 - 12 = 30

the nth term of the series is,

an = a + (n - 1)x d

an = 12 + 30 (n - 1)

thus, the correct answer is 12 + 30 (n - 1)