A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce it rises vertically to 2/3 the height from which it fell. (i)...

A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce it rises vertically to 2/3 the height from which it fell. (i)...

The first 3 terms of a geometric expression are x, 10 − x ,and 2x + 1 where x > 0. Find the value of the common ratio, r.

I don't understand how to find the sum if I don't know what term the last one (252)? How would I determine which term this is (t of ?=252)

abbcccddddeeeee........... what will be the 126th digit?

Sum to n terms of series 1^2 - 2^2 + 3^2 - 4^2 + 5^2 - 6^2 +.......

If tn= (n+2)(n+3)/4 for n=1,2,3..... Then find the sum of 1/t1 + 1/t2 + 1/t3.... 1/t2003

The value of 2^1/4 * 4^1/8 * 8^1/16 *16^1/32...... Till infinity Is. (The answer is 2)

This is a multiple choice question A. Converges by the Ratio Test B. Diverges by the Ratio Test C. The Ratio Test is inconclusive Please...

Hello, could you help me find the formula for this series, please? How do I go about it? 4,9,16,25,...I know it starts with adding 5 and adding 2 more with every number, so adding 7 next,...

The serie 2/[(n+2)(n-1)] (n starting from 3 until infinite)

Does the sum changes in this case and does the limit change too?

AP 1st term=x+1, 2nd term=2x-1, 4th term=2x+5, find x, a, d Please help me how to find even one of these values. I don't even have the sum of given terms, so I really have no...

(a) Starting with the first term, find the least number of terms that have a sum greater than 1500 (b) Starting with the first term, find also the number of terms that have a sum of...

Prove Sn-1 > 2(n1/2 - 1) for all n ∈ Ν \ {1} where Sn = 1/√1 + 1/√2 + 1/√3 + ... + 1/√n I have set N = 2 for the basis step: S2-1 = 1/√1 > 2(√2...

How does one determine if the following series is arithmetic or geometric? n f(n) Σ 0 1 1 1 5 6 2 14 ...

Please help me to find sum of this unlimeted serie: 1+2+3+5/7+3/2+4/3+25/49+3+4+... Thanks in advice

How does one determine if the following series is arithmetic or geometric. If it is arithmetic, what is the common difference? If it is geometric, what is the common ratio? Using this information,...

Prove Sn-1 > 2(n1/2 - 1) for all n ∈ Ν \ {1} where Sn = 1/√1 + 1/√2 + 1/√3 + ... + 1/√n

the sum of the series 1/1! + (1+2)/ 2! + (1+2+3)/3! +.......... equals a) e b) e/2 ...

1. Describe the components of the vector v(t)=<t2,5t> and the meaning of this vector. 2. Convert the following parametric equation into a rectangular equation: {x(t)=5cost}...