please solve this
...
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Answered by
2
hey mate!!
I have two methods...
60 is the answer
Here are two methods...
hope you understand better...
✧══════•❁❀❁•══════✧
Method 1
The first number in the sequence will be 12 and last number will be 248
So 12,16,20…248
This is In the form 12, 12+4,12+ 2*4, 12+3*4…,12+n*4
By arithmetic progression concept
12+ n*4 = 248
n=( 248–12)/4
n=59
n+1 th term is 248
So there are n+1 terms i.e 60 multiples
✧══════•❁❀❁•══════✧
Method 2
A number is divisible by 4 if and only if its last two digits are divisble by 4
Starting from 1 and ending with 100 , 100/4 is 25 . So there exists 25 multiples of 4 in 100
But we have to exclude 4 and 8 as the series starts from 12. I.e 23
And in next 101 to 200 also there exists 25 as what bothers is last two digits.
And from 201 to 250 , we can consider them like from 1 to 50 and here we have floor of 50/4 i.e 12
So 23+25+12= 60
✧══════•❁❀❁•══════✧
.
I have two methods...
60 is the answer
Here are two methods...
hope you understand better...
✧══════•❁❀❁•══════✧
Method 1
The first number in the sequence will be 12 and last number will be 248
So 12,16,20…248
This is In the form 12, 12+4,12+ 2*4, 12+3*4…,12+n*4
By arithmetic progression concept
12+ n*4 = 248
n=( 248–12)/4
n=59
n+1 th term is 248
So there are n+1 terms i.e 60 multiples
✧══════•❁❀❁•══════✧
Method 2
A number is divisible by 4 if and only if its last two digits are divisble by 4
Starting from 1 and ending with 100 , 100/4 is 25 . So there exists 25 multiples of 4 in 100
But we have to exclude 4 and 8 as the series starts from 12. I.e 23
And in next 101 to 200 also there exists 25 as what bothers is last two digits.
And from 201 to 250 , we can consider them like from 1 to 50 and here we have floor of 50/4 i.e 12
So 23+25+12= 60
✧══════•❁❀❁•══════✧
.
Answered by
1
hope it helps u ...
a =12 d=4 an=248 n =?
using
an=a+(n-1)d ..
find n
a =12 d=4 an=248 n =?
using
an=a+(n-1)d ..
find n
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