If (S_{23}=276), what will be the value of (S_{25})?
Answer and explanation
Correct answer: \(325\)
Here, \(S_n\) denotes the sum of the first \(n\) natural numbers. Therefore, \(S_{25}=S_{23}+24+25=276+49=325\). Hence, the correct option is \(325\). A value such as \(300\) can result from the mistake of adding only one new term. Exam tip: When moving from \(S_n\) to \(S_{n+k}\), add every intervening new term.
Frequently asked questions
What is the correct answer to this question?
\(325\)
Why is this the correct answer?
Here, \(S_n\) denotes the sum of the first \(n\) natural numbers. Therefore, \(S_{25}=S_{23}+24+25=276+49=325\). Hence, the correct option is \(325\). A value such as \(300\) can result from the mistake of adding only one new term. Exam tip: When moving from \(S_n\) to \(S_{n+k}\), add every intervening new 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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