Question

How many multiples of 6 between 50 and 150​

Answer 1

Answer:

Ap= 54,60,66.....144

an = 150

a = 54

d= 6

an=a+(n-1)(d)

150=54+(n-1)6

150-54=(n-)6

$\frac{</em><em>96</em><em>}{6}$

16+1=n

17=n

17 multiple of 6 lies between 50 to 150.

Step-by-step explanation:

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@dipak121

Answer 2

16 multiples of 6 are there between 50 and 150.

Given,

Two Terms are given 50 and 150.

To find,

Number of multiples of 6 in between them

Solution,

The terms between 50 and 150 which will be divisible by 6 will form an arithmetic progression.

The A.P. is

54,60,66.....,144

From this A.P.

First-term(a)=54

Last term(an)=144

Let the number of terms be n.

We know,

an=a+(n-1)d

Here, d is the common difference which is 6.

144=54=(n-1)6

144-54=(n-1)6

90=(n-1)6

90/6=n-1

15=n-1

n=16.

So, there are 16 multiples of 6 between 50 and 150.

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