Question

Find the sum of 2+4+6+......+200

Answer 1

Answer:

10100

Step-by-step explanation:

Please find the attached image.

Answer 2

The sum of 2+4+6+......+200 is 10100.

Step-by-step explanation:

Consider the provided series.

We need to find the sum of 2+4+6+......+200

Here, the first term of the series is 2 and last term is 200.

Now find the common difference:

$d=a_2-a_1$

$d=4-2=2$

Now use the formula $a_n=a+(n-1)d$ to find the number of terms.

$200=2+(n-1)2$

$198=(n-1)2$

$99=n-1$

$n=100$

To find the sum use the formula: $S_n=\frac{n}{2}(a+l)$

Where l is the last term and Sₙ is the sum.

$S_{100}=\frac{100}{2}(2+200)$

$S_{100}=50(202)$

$S_{100}=10100$

Hence, the sum of 2+4+6+......+200 is 10100.

#Learn more

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