Find the sum of all even numbers from 1 to 350.
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Find the sum of all even numbers from 1 to 350.
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Verified answer
The sum of all even numbers from 1 to 350 is 30800.
Given:
We have been given range from 1 to 350.
Solution:
Between the above range from 1 to 350, the even numbers are:
2, 4, 6, 8, 10, 12, 14...................350.
The above is known as Arithmetic progression in which the first term is 2.
Let us denote terms as t.
Difference between terms
Number of terms between 1 and 350 .
Sum of the Arithmetic progression
Whereas n = number of terms, a = first term and l = last term.
n = 175, a = 2, l = 350
Thus,
=30800.