Question

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

Options

• `(2"n" + 1)/(2"n"- 1)`

• `(2"n")/(2"n"- 1)`

• `(2"n" - 1)/(2"n")`

• `(2"n" - 1)/(2"n"+ 1)`

Answer 1

A small block slides down on a smooth inclined plane, starting from rest at time t = 0. Let S_n be the distance travelled by the block in the interval t = n − 1 to t = n. Then, the ratio `"S"_"n"/"S"_("n" + 1)` is `underline((2"n" - 1)/(2"n"+ 1))`.