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Question
The sum of first 10 even natural numbers is ______.
Options
120
110
65
120
MCQ
Fill in the Blanks
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Solution
The sum of first 10 even natural numbers is 110.
Explanation:
First 10 even natural numbers are : 2, 4, 6, 8, 10, .... upto 10 terms.
The above list is an A.P. with,
First term (a) = 2
Common difference (d) = 2
By formula,
Sum of n terms = `n/2[2a + (n - 1)d]`
Substituting values we get:
= `10/2[2×2+(10−1)×2]`
= 5 × [4 + 9 × 2]
= 5 × [4 + 18]
= 5 × 22
= 110.
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