Use the summation formulas to rewrite the expression without the summation notation. 4i + 9 n2 S(n) Use the result to find the sums for n 10, 100, 1000, and 10,000. n = 10 100 n = 1,000 n =10,000
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We have: - The formula for the sum of the first n natural numbers: 1 + 2 + 3 + ... + n = n(n+1)/2 - The formula for the sum of the squares of the first n natural numbers: 1^2 + 2^2 + 3^2 + ... + n^2 = n(n+1)(2n+1)/6 Using these formulas, we can rewrite the Show more…
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