Find the nth term of the following sequence 2, 5, 10, 17, ... - Mathematics

Find the n^th term of the following sequence

2, 5, 10, 17, ...

Sum

2, 5, 10, 17, ...

= 1² + 1, 2² + 1, 3² + 1, 4² + 1 ...

∴ n^th term is n²+1

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Chapter 2: Numbers and Sequences - Exercise 2.4 [Page 55]

Chapter 2 Numbers and Sequences
Exercise 2.4 | Q 3. (i) | Page 55

Find the next three terms of the following sequence.

5, 1, – 3, …

Find the next three terms of the following sequence

`1/4, 2/9, 3/16, ...`

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Find the first four terms of the sequences whose n^th terms are given by a_n = 2n² – 6

Find the indicated terms of the sequences whose n^th terms are given by

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Find the indicated terms of the sequences whose n^th terms are given by

a_n = – (n² – 4); a₄ and a₁₁

Find a₈ and a₁₅ whose n^th term is a_n= `{{:(("n"^2 - 1)/("n" + 3)";", "n is even""," "n ∈ N"),(("n"^2)/(2"n" + 1)";", "n is odd""," "n ∈ N"):}`

If a₁ = 1, a₂ = 1 and a_n = 2a_n−1 + a_n−2, n ≥ 3, n ∈ N, then find the first six terms of the sequence

Given F₁ = 1, F₂ = 3 and F_n = F_n–1 + F_n–2 then F₅ is