Question
Download Solution PDFSum of the even numbers below 71 is ______
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sum of even numbers below 71
Formula used:
Sum of first n even numbers = n(n+1)
Where n is the number of even numbers
Calculation:
The even numbers below 71 are: 2, 4, 6, ..., 70
The largest even number below 71 is 70, and it is the 35th even number (since 70/2 = 35).
⇒ n = 35
⇒ Sum of first 35 even numbers = 35(35+1)
⇒ Sum = 35 × 36
⇒ Sum = 1260
∴ The correct answer is option (1).
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