Question

State, true or false:

If a, b and c are in A.P. then 4a, 4b and 4c are in A.P.

Answer 1

This statement is true.

Explanation:

Given,

a, b and c are in A.P.

We know that,

If each term of an A.P. is multiplied by a constant, then the resulting sequence is also an A.P.

Thus, 4a, 4b and 4c are also in A.P.

Hence, yes the terms 4a, 4b and 4c are in A.P.