Question

How many multiples of 4 lie between 10 and 205

Answer 1

starting from 12,16,20.......204

a=12 d=4

an=204

a204=a+(n-1)d

204 =12+(n-1)4

204=12+4n-4

204=8+4n

204-8=4n

196=4n

n=196/4

n=49

49 terms are there

Answer 2

The number of multiples of 4 lie between 10 and 205 is 49

Step-by-step explanation:

Given Data

First term (a) = 12 (because 10 and 11 are not divisible by 4)

Last term $(t_n)$ = 204 (205 is not a multiple of 5)

Common difference (d) = 4

Find the number of multiples of 4 between the given condition

$t_n = a + (n-1) d$

$204 = a + (n-1) d$

Substitute the respective values in above equation

$204 = 12 + (n-1) 4$

$204 = 12 + 4n -4$

$204 = 8 + 4n$

4n = 204 - 8

4n = 196

$n = \frac{196}{4}$

n = 49

Therefore, there are 49 multiples of 4 lies between 10 and 205

To Learn More ...

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