Question

1. what is the relationship between the following two sequences? sequence 1: 0, 1, 2, 3, 4, 5_ sequence 2: 0, 4, 8, 12, 16, 20_ the terms in sequence 2 are three times as large as the terms in sequence 1. the terms in sequence 2 are twice as large as the terms in sequence 1. the terms in sequence 2 are four times as large as the terms in sequence 1. the terms in sequence 2 are half as large as the terms in sequence 1.

Explanation:

Step1: Identify nth term of Sequence 1

Sequence 1: 0,1,2,3,4,5... → \( a_n = n \) (n=0,1,2...)

Step2: Identify nth term of Sequence 2

Sequence 2: 0,4,8,12,16,20... → \( b_n = 4n \) (n=0,1,2...)

Step3: Compare terms

\( b_n = 4n = 4a_n \) → Sequence 2 terms = 4×Sequence 1 terms

Answer:

The terms in Sequence 2 are four times as large as the terms in Sequence 1.