Find sum of even number between 100 and 500?
Answers
Answered by
0
Answer:206
Step-by-step explanation:102+104=206
Answered by
0
Sum of all even numbers:
The series which we want to add can be given as :
102,104,106,108,....,496,498.
Now, Such series are calculated using A.P. (Arithmetic Progressions)
Sum of N numbers in AP is given by =/2[+]
where,
a
= First element in AP,
l
= Last element in AP.
According to the series we have number of total elements
n
which can be calculated as:
=+(−1),
where = number of elements.
d= difference between two consecutive elements.
So, here =498,=102,=?
=+(−1),
498=102+(−1)2
498-102=(n-1)2
396/2=n-1
−1=198
=198+1=199
So, =199/2[102+498]
Sn=199/2[600]
=199*300=59700
Hopefully it’s helpful for you
Please mark me as a brainliest
Thanks
The series which we want to add can be given as :
102,104,106,108,....,496,498.
Now, Such series are calculated using A.P. (Arithmetic Progressions)
Sum of N numbers in AP is given by =/2[+]
where,
a
= First element in AP,
l
= Last element in AP.
According to the series we have number of total elements
n
which can be calculated as:
=+(−1),
where = number of elements.
d= difference between two consecutive elements.
So, here =498,=102,=?
=+(−1),
498=102+(−1)2
498-102=(n-1)2
396/2=n-1
−1=198
=198+1=199
So, =199/2[102+498]
Sn=199/2[600]
=199*300=59700
Hopefully it’s helpful for you
Please mark me as a brainliest
Thanks
Similar questions