Calculate the aggregate sum of the initial 70 odd integers.
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Answer: A. 4900
Explanation
The sum of the first n positive odd integers is mathematically proven to be equal to n squared. The problem asks for the aggregate sum of the initial seventy odd integers in the number sequence. Squaring the value seventy gives seventy multiplied by seventy, which equals the correct total sum of forty nine hundred. Odd integers are whole numbers not divisible by two, starting with one, three, five, seven, and continuing upward. Mathematical induction and arithmetic series formulas demonstrate that sums of consecutive odd integers always yield perfect squares. Arithmetic progression rules allow rapid calculation of large integer series sums without manual addition.
4970 is incorrect because it adds an extraneous seventy to the correct squared sum value of forty nine hundred. 4960 contains an arithmetic miscalculation and fails to match the exact square of seventy. None of these is incorrect because the first option provides the mathematically accurate answer to the problem.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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