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nth Term of an AP

Finda S 3: S ...

Question

Find

(a) S₃ : S₆ for the series 4 + 12 + 36 + …….

(b) S₄ : S₈ for the series 5 + 10 + 20 + ……..

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Solution

(a) The given series is

Here, and .

(b) The given series is

Here, and .

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Similar questions

S_{4} : S_{8}

for the series 4 + 12 + 36 + .............

S_{2} : S_{4}

for the series 5 + 10 + 20 + ............

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

Q. For the series

2 + 12 + 36 + 80 + 150 + 252 + .

..........., the value of

lim n \to \infty \frac{T_{n}}{n^{3}} =

Q. In a series,

T_{n} = 2 n + 5

S_{4}

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