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If the sum of the first (31) natural numbers is (496), what is the sum of the first (34) natural numbers?

Answer and explanation

Correct answer: 595

To obtain the sum of the first 34 natural numbers, add the numbers after 31, namely 32, 33, and 34, to the given sum. Thus, \(S_{34}=496+32+33+34=595\). Therefore, 595 is correct. Adding only 34 would be incorrect because 32 and 33 are also new terms. Exam tip: When moving from \(S_n\) to \(S_{n+k}\), add every intervening term.

Related tags

MathematicsSequences And ProgressionsNatural NumbersSum Of Natural NumbersArithmetic SeriesSum Of First N Natural NumbersClass 9 Mcq

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