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,...
E) 35, 105, 315, 945, 2835, 8505, ...

Answer 1

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

Explanation:

The general term of an arithmetic sequence is

`t_n=32+3n`, where n ∈N and n ≥ 1.

When n=1,

`t_1=32+3(1)=35`

When n=2,

`t_2=32+3(2)=38`

When n=3,

`t_3=32+3(3)=41`

When n=4,

`t_4=32+3(4)=44`

When n=5,

`t_5=32+3(5)=47`

When n=6,

`t_6=32+3(6)=50`

Hence the sequence is 35, 38, 41, 44, 47, 50,...

The correct answer is D