Question

Find the sum of all the even numbers from 1 to 350

Answer 1

Answer:

Step-by-step explanation: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.

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Answer 2

Answer:30450

Step-by-step explanation

tn=a+(n-1)d

350=2+(n-1)2

350-2=2n-2

348=2n-2

348*2=n-2

178=n-2

178-2=n

N=176

Sn=n[2a+(n-1)d]/2

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