Question

In the following questions, two statements (i) and (ii) are given. Choose the valid statement.

1. The sum of three numbers in A.P. is 90. The middle term will be 30.
2. n^th term from the end in an A.P. = l + (n – 1)d.

Options

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Only (i)

Explanation:

(i) If three numbers in an Arithmetic Progression (A.P.) are (a − d), a, and ( a + d), their sum is (a − d) + a + (a + d) = 3a. If 3a = 90, then the middle term a must be 30.

(ii) The formula for the n^th term from the end of an A.P.is l − (n − 1)d, where l is the last term and d is the common difference.