Question

The first term and the common difference of an A.P. are 8 and –5 respectively. The A.P. is ______.

Options

• 8, 13, 18, 23, 28, ........

• 8, 3, –2, –7, ........

• –5, 3, 11, 19, 27, ........

• –5, –13, –21, –29, ........

Answer 1

The first term and the common difference of an A.P. are 8 and –5 respectively. The A.P. is 8, 3, –2, –7, .........

Explanation:

Given a = 8 and d = –5

∴ Required A.P be

a, a + d, a + 2d, a + 3d, a + 4d, ......

i.e. 8, 8 – 5, 8 – 2 × 5, 8 – 3 × 5, 8 – 4 × 5, ......

i.e. 8, 3, –2, –7, –12, ......