What is the general term of the sequence (\frac{5}{2},\frac{8}{5},\frac{13}{10},\frac{20}{17},\ldots)?
Answer and explanation
Correct answer: (a_n=\frac{n^2+4}{n^2+1})
The numerator is (n^2+4) and the denominator is (n^2+1), so (a_n=\frac{n^2+4}{n^2+1}). In a fractional sequence identify square patterns separately.
Frequently asked questions
What is the correct answer to this question?
(a_n=\frac{n^2+4}{n^2+1})
Why is this the correct answer?
The numerator is (n^2+4) and the denominator is (n^2+1), so (a_n=\frac{n^2+4}{n^2+1}). In a fractional sequence identify square patterns separately.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.
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