The first four terms of an AP

Question:

The first four terms of an AP whose first term is – 2 and the common difference is-2 are

(a) -2,0,2, 4

(b) -2, 4, -8,16

(c) -2,-4,-6,-8

(d) -2, – 4, -8, -16

Solution:

(c) Let the first four terms of an AP are a, a + d, a + 2d and a + 3d.

Given, that first term, a = – 2 and common difference, d = – 2, then we have an AP as follows

-2, – 2 – 2, – 2 + 2(-2), – 2 + 3(-2)

= – 2, – 4, – 6, – 8

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