# Math

Observe that :
1/1*3= 1/3
1/1*3+ 1/3*5= 2/5
1/1*3+ 1/3*5+ 1/5*7= 3/7
1/1*3+ 1/3*5+ 1/5*7+ 1/7*9= 4/9

Come up with a formula s(n) for the above, for n is greater than or equal to 1. Prove it by mathematical induction

1. 👍 0
2. 👎 0
3. 👁 100

## Similar Questions

1. ### math, probability

We observe a Poisson process with unknown rate. The rate λ of the Poisson process is either 2 or 4, with equal probability, and the actual value is not known. We observe the process over the time interval [0,3] and observe

asked by x on September 3, 2019
2. ### probability

Poisson Processes and Bayes' Rule We observe a Poisson process with unknown rate. The rate 𝜆 of the Poisson process is either 2 or 4, with equal probability, and the actual value is not known. We observe the process over the

asked by peter on September 2, 2019
3. ### math , probability

We observe a Poisson process with unknown rate. The rate lambda of the Poisson process is either 2 or 4, with equal probability, and the actual value is not known. We observe the process over the time interval 0, 3 and observe

asked by anon on August 29, 2019
4. ### Biology

1aOrder the following steps of microscope use. A. Observe the specimen under low power; resolve with the fine adjustment. B. Raise the stage; observe under scanning power; focus with coarse adjustment; resolve with fine

asked by Anonymous on May 11, 2016
5. ### Chemistry

If you add Na2CO3 and AgNO3 together in a test tube what exactly would you observe and what would be the equation for the equilibrium system? If you then add HNO3 to the solution what exactly would you observe and what would be

asked by Sylvia on June 20, 2009
6. ### Chemistry

I've a solution 0.002M of Pb(NO3)2: What is the minimum concentration of iodide ions (I-) necessary to observe the precipitation of PbI2? What mass of KI should be added to observe the precipitation of PbI2 from the 25 mL volume

asked by sauro on January 19, 2019
7. ### Probability

A fair coin is tossed repeatedly and independently. We want to determine the expected number of tosses until we first observe Tails immediately preceded by Heads. To do so, we define a Markov chain with four states, {S,H,T,HT},

asked by qwerty on May 19, 2015
8. ### Physics

As an astronaut, you observe a small planet to be spherical. After landing on the planet, you set off, walking always straight ahead, and find yourself returning to your spacecraft from the opposite side after completing a lap of

asked by Anonymous on February 11, 2014
9. ### Probalility

A fair coin is tossed repeatedly and independently. We want to determine the expected number of tosses until we first observe Tails immediately preceded by Heads. To do so, we define a Markov chain with four states, {S,H,T,HT},

asked by Volcom on May 15, 2015