Question

Solve for the sum of the first 10 positive even numbers

Answer 1

Answer:

first 10 positive even numbers are : 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 +20 = 110

Step-by-step explanation:

the sum of first 10 positive even numbers are 110

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Answer 2

SOLUTION

TO DETERMINE

The sum of first 10 positive even numbers

EVALUATION

The first 10 positive even numbers are

2 , 4 , 6 , 8 , . . . . , 20

This is an arithmetic progression

First term = a = 2

Common Difference = d = 2

Number of terms = 10

Hence the required sum

$\displaystyle \sf{ = \frac{n}{2} \bigg[ 2a + (n - 1)d\bigg] }$

$\displaystyle \sf{ = \frac{10}{2} \bigg[ (2 \times 2) + 2 \times (10 - 1)\bigg] }$

$\displaystyle \sf{ = 5 \times \bigg[ 4 + 18 \bigg] }$

$\displaystyle \sf{ = 5 \times 22}$

$\displaystyle \sf{ = 110}$

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