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Q) Write first four terms of the A.P. when the first term a and the common difference d are given as follows
(iv) a = – 1, d = 1 / 2

Ans: Since we need to form AP consisting of first 4 terms, let’s start from formula for nth term.

The nth term of an AP, a_n = a + (n - 1) d

here, a = first term

n = value of the term

d = common difference

Lets start putting value of a and d for different values of n and get the desired terms of AP.

First term, a_1 = - 1 + (1 - 1) (\frac{1}{2}) = - 1

Similarly, Second term, a_2 = - 1 + (2 - 1) (\frac{1}{2}) = - 1 + \frac{1}{2} = - \frac{1}{2}

Third term, a_3 = - 1 + (3 - 1) (\frac{1}{2}) = - 1 + 2 (\frac{1}{2}) = -1 + 1 = 0

and Fourth term, a_4 = - 1 + (4 - 1) (\frac{1}{2}) = - 1 + 3 (\frac{1}{2}) = - 1 + \frac{3}{2} = \frac{1}{2}

Therefore, the Arithmetic progression with a = – 1, d = \frac{1}{2} is  - 1, - \frac{1}{2}, 0, \frac{1}{2}, ….. and its first 4 terms are - 1, - \frac{1}{2}, 0, \frac{1}{2}.

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