Question

How many multiples of 6 are there between the following pairs of numbers ? 0 and 100 and –6 and 34?

Answer 1

As per the question,
We will get two series in AP i.e.
6,12,..........,96
-12 , -18, ..........., 30.
So, We will find number of terms one by one.
And, we know
An = a+ (n-1)d.
Then,
96 = 6+ (n-1)6 = 6+6n-6
6n = 96
n= 16.
And, in another series
30 = -12+(n-1)6 = -12+6n -6
6n-18 = 30
6n = 48
n = 8.
So, number of multiples of 6 in between 0 and 100 ,and -6 and 34 are 16 and 8 respectively.

Hope you will find it helpful....
Mark it as brainliest.