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

Question:

For the following APs, write the first term and the common difference: 1/3, 5/3 , 9/3 , 13/3, ...

Given:

Arithmetic Progression (AP): 1/3, 5/3 , 9/3 , 13/3, ...

To Find:

First term (a) and common difference (d)

Formula:

In an AP, the common difference (d) is given by: d = a_n - a_n-1, where a_n is the nth term and a_n-1 is the (n-1)th term.

Solution:

The first term (a) is the first number in the sequence: a = 13

To find the common difference (d), we subtract any term from the next term. Let's use the first two terms:

d = a₂ - a₁ = 53 - 13 = 43

Result:

First term (a) = 13, Common difference (d) = 43

Next question solution:

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

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