Question

Find the sum of all even number between 1 to 150

Answer 1

there are two methods
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Answer 2

lets put 1 aside

Then consider 1st even number 2
nth term of even numbers formula 2n

2n=150
n=75

75th term is 150

so,total number of terms 75

sum of 75 terms is
n/2(2a+(n-1)d)
$(4 + 74 \times 2) \times \frac{75}{2}$

75×76


=5700

Or


If you know the first and last term

here 2 and 150


75/2(2+150)

76×75

5700=