Which is the (n)th term of the sequence (1,5,14,30,55,\ldots)?
Answer and explanation
Correct answer: (\frac{n(n+1)(2n+1)}{6})
These terms are cumulative sums of squares (1^2), (1^2+2^2), (1^2+2^2+3^2). In cumulative patterns, inspect the added parts.
Frequently asked questions
What is the correct answer to this question?
(\frac{n(n+1)(2n+1)}{6})
Why is this the correct answer?
These terms are cumulative sums of squares (1^2), (1^2+2^2), (1^2+2^2+3^2). In cumulative patterns, inspect the added parts.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
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