Test Academy | A small block slides down on a smooth inclined plane, starting from rest at time t=0. Let Sₙ be the distance travelled by the block in the interval t=n−1 to t=n. Then, the ratio Sₙ/(Sₙ +1 ) is : 2ₙ-1/2ₙ, 2ₙ-1/2ₙ+1, 2ₙ+1/2ₙ-1, 2ₙ/2ₙ-1

Question

A small block slides down on a smooth inclined plane, starting from rest at time t=0. Let Sₙ be the distance travelled by the block in the interval t=n−1 to t=n. Then, the ratio Sₙ/(Sₙ₊₁) is :

Options :

2ₙ-1/2ₙ
2ₙ-1/2ₙ+1
2ₙ+1/2ₙ-1
2ₙ/2ₙ-1

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