Question

2, 7, 12, ...
answer attempt 1 out of 3
this is
sequence and the is equal to .
an arithmetic
a geometric
submit

Explanation:

Step1: Identify sequence type

Check the difference between consecutive terms. For the sequence \(2, 7, 12, \dots\), calculate \(7 - 2 = 5\) and \(12 - 7 = 5\). Since the difference is constant, it is an arithmetic sequence.

Step2: Determine the common difference

The constant difference between consecutive terms in an arithmetic sequence is called the common difference. From the calculations above, the common difference is \(5\).

Answer:

This is an arithmetic sequence and the common difference is equal to 5.