Calculate the aggregate sum of the initial 70 even integers.
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Answer: A. 4970
Explanation
The sum of the first n even integers is calculated using the standard formula n times n plus one. Substituting seventy for n gives seventy multiplied by seventy one in the formula expression. Executing the multiplication produces a total aggregate sum of forty nine seventy. Arithmetic progressions of even numbers follow predictable summation rules established in algebra. The sequence of even integers starts at two and increments by two for each successive term. Summation formulas save time compared to manual addition for large arithmetic sequences.
Computer science algorithms use arithmetic progression formulas to optimize loop execution sums. Number theory applications analyze properties of consecutive integer sequences and sums. Quantitative aptitude tests frequently feature sequence summation problems to test formula knowledge. Option B suggests forty nine fifty which results from calculating for a smaller sequence length. Option C proposes forty nine hundred which represents the square of seventy rather than the sum. Option D offers forty nine eighty which overestimates the correct arithmetic sequence product.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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