Question

How many multiple of 4 lie between 10 and 205

Answer 1

First term in this series will be 12. also the last digit will be 248.

the the series will be 12,16,20……….248.

it is a arithmetic series with first term a=12 and common difference of 4.

with last term as 248.

so 248=12+(n-1)x4 (lets assume it has n such numbers.)

(n-1).4= 248–12=236

n-1=236/4=59

n=59+1=60.

so 60 multiples of 4 lie between 10 and 250.

Answer 2

Answer

first term a=12 and common difference of 4.

with last term as  l = 204

number of terms = n = [l -a]/d  +1

                                  = [ 204 - 12 ]/4    + 1

                                   =192/4   +1

                                  =48 + 1

                                   =49

There are 49 multiple of 4 lie between 10 and 205