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.
Frequently asked questions
What is the correct answer to this question?
595
Why is this the correct answer?
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.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sum of first n natural numbers.
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