I have a series (Un)n∈Ν. U0=2 and Un+1=1/4(Un)+1. I need to find a series (Vn)n∈Ν and a∈R such that Vn=Un+a and that (Vn) is geometric.

I have a series (Un)n∈Ν. U0=2 and Un+1=1/4(Un)+1. I need to find a series (Vn)n∈Ν and a∈R such that Vn=Un+a and that (Vn) is geometric.

Express the sum using summation notation. Thank you.

Determine whether the sequence is increasing, decreasing, or not monotonic. an = 1/(6n+7) Is the sequence bounded? Yes or No? Explain.

Determine whether the sequence is increasing, decreasing, or not monotonic. an = 4n(−7)n Is the sequence bounded? Yes or No? Explain.

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)...

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

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)

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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...

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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 ...

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