Question

how
many
whole numbers are between 45 and 95​

Answer 1

Answer:

The number of whole number between 45 and 95 = 49

Step-by-step explanation:

To find,

The number of whole numbers between 45 and 95

Recall the formula

The number of terms of an AP = n= $\frac{t_n- t_1}{d} + 1$ ---------------(1)

where $t_n$ is the last term and the $t_1$ is the first term and 'd' is the common difference of the AP

Solution:

Let A be the set of whole numbers between 45 and 95

A = {46,47,48,...........,94}

Here, the set A form an AP,

first term =  $t_1$  = 46

last term =   $t_n$ = 94

common difference = d =1

Substituting these value in equation(1) we get

n = $\frac{94- 46}{1} + 1$

= 48 +1

= 49

The total number of elements in the set A = 49

∴The number of whole number between 45 and 95 = 49

#SPJ3

Answer 2

Answer:

There are 49 whole numbers between 45 and 95.

Step-by-step explanation:

Given:-

The sequence 45, 46, 47, . . ., 95.

To find:-

The total number of whole numbers between 45 and 95, i.e.,

The total number of terms, n =?.

According to the question,

The sequence is 45, 46, . . ., 95.

Notice that the given sequence is an A.P such that,

The first term, a = 45

The last term, $a_n$ = 95

The common difference, d = 1

The number of terms in an $A.P$ is given by,

n = $\frac{a_n-a}{d} +1$

Substitute the values of a, $a_n$ and d as follows:

⇒ n = $\frac{95-45}{1}+1$

⇒ n = 50 + 1

⇒ n = 51

Observe that the sequence 45, 46, . . ., 95 has 51 terms.

But, we need to find the terms between 45 and 95.

So, exclude the 2 terms i.e. 45 and 95, we get

n = 51 - 2

n = 49

Final answer: There are 49 whole numbers between 45 and 95.

#SPJ2