NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 3 (i)

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 3 (i)

Question:

For the following APs, write the first term and the common difference: 3, 1, – 1, – 3, . . .

Given:

Arithmetic Progression (AP): 3, 1, -1, -3, ...

To Find:

First term (a) and common difference (d)

Formula:

In an AP, the common difference (d) is the difference between any two consecutive terms.

d = an - an-1

where an is the nth term and an-1 is the (n-1)th term.

Solution:

The first term (a) is the first number in the sequence.

a = 3

To find the common difference (d), subtract any two consecutive terms.

Let's subtract the second term from the first term:

d = 1 - 3 = -2

Result:

First term (a) = 3

Common difference (d) = -2

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