Question

Arithmetic Sequence:

5, 17, 29, 41, 53, .
What is the common difference in the given arithmetic sequence?
a) 5
b) 12
c) 14
d) 16

Answer 1

The common difference in the given arithmetic sequence (5, 17, 29, 41, 53) is 12, calculated by subtracting a term from the following term, such as 17 - 5 or 29 - 17.

Step-by-step explanation:

To find the common difference in the given arithmetic sequence, you subtract any term from the term that follows it. The sequence provided is 5, 17, 29, 41, 53.

Subtract the first term from the second term: 17 - 5 = 12.

Subtract the second term from the third term to confirm the common difference is consistent: 29 - 17 = 12.

Therefore, the common difference in the given arithmetic sequence is 12.