NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 2 (iv)

Question:

Write first four terms of the AP, when the first term a and the common difference d are given as follows: a=–1, d=1/2.

Given:

First term (a) = –1
Common difference (d) = 12

To Find:

First four terms of the AP

Formula:

n^th term of an AP = a + (n-1)d

Solution:

First term (a₁) = a = –1

Second term (a₂) = a + d = –1 + 12 = -11 + 12 = -2+12 = -12 = -12

Third term (a₃) = a + 2d = –1 + 2(12) = –1 + 1 = 0

Fourth term (a₄) = a + 3d = –1 + 3(12) = –1 + 32 = –1 + 1.5 = 0.5 = 12

Result:

The first four terms of the AP are –1, –12, 0, 12

Next question solution:

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 2 (v).

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