Question

How many multiply of 4 between 10 and 150.​

Answer 1

In this question, the concept used is arithmetic progression. Let's solve it!!

Step-by-step explanation:

Given,

Numbers from 10 to 150

To Find,

Number of multiples of 4 between them.

Arithmetic Progression for the given question:

⇒ 12,16,20,24...248.

You can see that 12,16,20 all are multiples of 4 and the last term will be 248.

Note that,

⇒ a = 12

⇒ d = 4

⇒ Last term or A.n = 248

Formula to find nth term of an A.P,

⇒ A.n = a+(n-1)d

On applying the values,

⇒ 248 = 12+(n-1)4

⇒ 4(n-1) = 248-12

⇒ 4(n-1) = 236

⇒ n-1 = 236/4

⇒ n-1 = 59

⇒ n = 60

Hence, there are 60 multiples of 4 between 10 and 250.

Answer 2

Answer:

Let us consider the multiples of 4 which lie between 10 and 250.

12, 16, 20, 24, 28, 32, 40,……….248.

It is an Arithmetic Progression(AP), it is defined as a series of numbers in order in which the difference of any two consecutive numbers is a constant value.

Starting term (a) = 12

Difference (d) = 4

Let us consider the total number of terms be n, then

a + (n – 1)d =248

12 + (n – 1)4 = 248

12 + 4n – 4 = 248

12 + 4n – 4 – 248 = 0

4n – 240 = 0

4n = 240

n = 60

∴ There are 60 multiplies of 4 lies between 10 and 250.