1.

Sum of even numbers till 300​

Answer»

Answer:

22,650

Step-by-step explanation:

Given :

First TERM ( a ) = 2

LAST term ( t_n ) = 300

Common difference ( d ) = 2

We have term formula

t_n = a + ( N - 1 ) d

300 = 2 + ( n -1 ) 2

2 ( n - 1 ) = 298

n - 1 = 149

n = 150

So numbers of terms is 150

Now we have SUM formula

S_n = n / 2 ( a + l )

where l is last term.

\displaystyle \text{$S_{150}=\frac{150}{2}(2+300) $}\\\\\displaystyle \text{$S_{150}=\frac{150}{2}(302) $}\\\\\displaystyle \text{$S_{150}=75\times302$}\\\\\displaystyle \text{$S_{150}=22,650$}

Thus we get answer.


Discussion

No Comment Found

Related InterviewSolutions