Question

Find the sum of even numbers between 1 to 300
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Answer 1

so, even first even integer between 1 is 2

Now, last even number is 300 (if exclusive term included)

so, AP would be

2,4,6,8....................300

so, now total numbers are

$a_{n} = a + (n - 1)d$

$300 = 2 + (n - 1)2$

$300 = 2n$

$n = \frac{300}{2} = 150$

so, now sum of even numbers

$S_{300} = \frac{150}{2}(2 + 300)$

$= 75\times302$

$= 22650$

so, the sum is

22650

Answer 2

Answer:

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