Question

The general term of an arithmetic sequence is tn = 32 + 3n, where n ∈N and n ≥ 1. The sequence is A) 32, 35, 38, 41, 44, 47,... B) 32, 96, 288, 864, 2592, 7776,... C) 34, 39, 44, 49, 54, 59,... D) 35, 38, 41, 44, 47, 50,...

Answer 1

35,38,41,44,47,50,....

Explanation:

n ∈N means that n is an element of Natural numbers

Natural numbers are whole non-negative numbers

n ≥ 1, means that n = 1, 2, 3, 4, 5, 6,........

tn = 32 + 3n

the first term t1 = 32 + 3(1)

32 + 3 = 35

the second term t2 = 32 + 3(2)

32 + 6 = 38

the third term t3 = 32 + 3(3)

32 + 9 = 41