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nth Term of an AP

In a series i...

Question

In a series if (i) T_n = 2n − 1 find S₅ (ii) T_n = (−1)ⁿ then find (a) S₁ (b) S₂ (c) S₃ (d) S₄

Hence prove that S₁ = S₃ and S₂ = S₄

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Solution

(i)

(ii)

(a)

(b)

(c)

[Alternatively: ]

(d)

[Alternatively: ]

It can be seen that and ,

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