Question

What is the common difference of the new arithmetic progression formed after $4$ is divided from each of the term of the arithmetic progression $20,28,36,44,...$

• A. $3$
• B. $2$
• C. $1$
• D. $4$

Answer 1

The correct option is B $2$

The common difference of the arithmetic progression $20,28,36,44,...$ is $8$. When $4$ is divided to each of its term, the common difference of the resulting A.P. is the also divided by $4$. This can also be seen from the resulting A.P. The new A.P. is $5,7,9,11,...$ Thus the common difference of the new A.P. is $2$. Therefore, the correct answer is '$b$.