What is the Sum of First 70 even Numbers?
Correct answer: A. 4970
- A. 4970
- B. 4950
- C. 4900
- D. 4980
Explanation
The first 70 even numbers are 2, 4, ..., 140, which can be written as 2(1 + 2 + ... + 70). Since 1 + 2 + ... + 70 = 70 x 71 / 2 = 2,485, the sum is 2 x 2,485 = 4,970. The likely wrong choice is 4,900, which comes from using an incomplete or incorrect sum formula.
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Sequences describe ordered terms formed by a pattern, while series represent the sum of those terms. Questions cover arithmetic and geometric sequences, their nth terms, common difference or ratio, finite sums, and applications, with the sequence itself kept distinct from the corresponding series.
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