If (S_{18}=171), what will be the value of (S_{22})?
Answer and explanation
Correct answer: 253
Here, \(S_n\) denotes the sum of the first \(n\) natural numbers. To obtain \(S_{22}\) from \(S_{18}\), add the next four natural numbers, \(19,20,21\), and \(22\): \(S_{22}=171+19+20+21+22=253\). Hence, the correct answer is 253. One must include every term from 19 through 22, not skip any term. Exam tip: When moving from \(S_m\) to \(S_n\), add all terms from \(m+1\) to \(n\).
Frequently asked questions
What is the correct answer to this question?
253
Why is this the correct answer?
Here, \(S_n\) denotes the sum of the first \(n\) natural numbers. To obtain \(S_{22}\) from \(S_{18}\), add the next four natural numbers, \(19,20,21\), and \(22\): \(S_{22}=171+19+20+21+22=253\). Hence, the correct answer is 253. One must include every term from 19 through 22, not skip any term. Exam tip: When moving from \(S_m\) to \(S_n\), add all terms from \(m+1\) to \(n\).
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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