Class 11

Math

Algebra

Sequences and Series

What is the common difference of the new arithmetic progression formed after 6 is subtracted from each of the term of the A.P. $12,19,26,33,...$

- $4$
- $5$
- $6$
- $7$

**Correct Answer: ** Option(d)

**Solution: **The common difference of the arithmetic progression $12,19,26,33,...$ is $7$. When $6$ is subtracted from each of its term, the common difference of the resulting A.P. is the same. This can also be seen from the resulting A.P. The new A.P. is $6,13,20,27,...$ Thus the common difference of the new A.P. is also $7$. Therefore, the correct answer is '$d$'.