Question

How many natural numbers from 50 to 500 are divisible by 4

Answer 1

$\huge {\bold {\purple {SOLUTION}}}$

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$\huge {\bold {\pink {Given:}}}$

$A. P. = 52, 56, 60...........500.$

$\huge {\bold {\pink{To \:find :}}}$

$Number \: of \:terms \:divisible \:by\:4$

$\huge {\bold {\pink {Solution:}}}$

$Using \:nth \:term\:formula\: an= a + (n-1)d$

$=> 500 = 52 +(n-1)4$

$=> 500-52=(n-1)4$

$=> \frac{448}{4} = n-1$

$=> 112 = n-1$

$=> n= 113$

$Hence, \: the \:113\: numbers \:are\: \\divisible \:by\:4$

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$\huge {\bold {\purple {Hope \:it \:helps}}}$

Answer 2

Given,

the natural number from 50 to 500 divisible by 4

52,56,60,64...............500 -we will find AP

a=52

d=4

tn=500

tn=a+(n-1)d

500=52+(n-1)×4

500=52+4n-4

500=48+4n

4n=500-48

n=452/4

n=113

the 113 natural number are in the AP

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