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

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

Question:

Write first four terms of the AP, when the first term a and the common difference d are given as follows: a=-1.25 d=-0.25

Given:

First term (a) = -1.25
Common difference (d) = -0.25

To Find:

First four terms of the Arithmetic Progression (AP).

Formula:

The nth term of an AP is given by: an = a + (n-1)d

Solution:

First term (a1) = a = -1.25

Second term (a2) = a + d = -1.25 + (-0.25) = -1.5

Third term (a3) = a + 2d = -1.25 + 2(-0.25) = -1.25 - 0.5 = -1.75

Fourth term (a4) = a + 3d = -1.25 + 3(-0.25) = -1.25 - 0.75 = -2

Result:

The first four terms of the AP are -1.25, -1.5, -1.75, -2.

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