Question

4.Howmanywholenumbersarethereinbetween32and53?​

Answer 1

There are 20 whole numbers between 32 and 53

Given :

The numbers 32 and 53

To find :

The number of whole numbers between 32 and 53

Concept :

The nth term of an AP is

aₙ = a + (n - 1 )d.

a = first term

aₙ = nth term

d = common difference.

Solution :

Step 1 of 3 :

Write down the given numbers

The whole numbers between 32 and 53 are 33 , 34 , 35 , . . . . , 52

This is an arithmetic progression

Step 2 of 3 :

Write down first term and common difference

First term = a = 33

Common Difference = d = 34 - 33 = 1

Step 3 of 3 :

Find the number of terms

Let number of terms in the AP = n

Then nth term of the AP = 52

a + (n - 1 )d = 52

⇒ 33 + (n - 1) × 1 = 52

⇒ 33 + n - 1 = 52

⇒ n + 32 = 52

⇒ n = 52 - 32

⇒ n = 20

There are 20 whole numbers between 32 and 53

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