NCERT Class X Chapter 5: Arithmetic Progression Example 3

Question:

Find the 10th term of the AP : 2, 7, 12, . . .

Given:

Arithmetic Progression (AP): 2, 7, 12, . . .

To Find:

The 10th term of the given AP.

Formula:

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

where,

a is the first term, 

n is the term number, and 

d is the common difference.

Solution:

Here, 

the first term a = 2 and 

the common difference d = 7 - 2 = 5.

We need to find the 10th term, so n = 10.

Using the formula a_n = a + (n - 1)d 

⇒ a₁₀ = 2 + (10 - 1)5 

⇒ a₁₀ = 2 + 9 × 5 

⇒ a₁₀ = 2 + 45 

⇒ a₁₀ = 47

Result:

The 10th term of the AP is 47.

Next question solution:

NCERT Class X Chapter 5: Arithmetic Progression Example 4

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