pls clear my confusion

pls clear my confusion

FORMULAE FOR SERIES +N/2+N/4+N/8......1

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The file contains an explanation for finding upper limit to infinite sum $$\sum_{r=1}^{\infty}{\frac{r+2}{2^{r+1}\times r \times...

Can anyone explain how you prove a general term is true for a series, un+1=un/1+un u1=2 (i) find u2 and u3 (ii) Hence suggest an expression for un and so I have found...

∞∑n=1 (x−4)^n /n^n

A. summation of negative forty five times n from n equals zero to fifteen B. summation of the quantity negative nine plus five n from n equals zero to fifteen C. summation of the quantity...

1,3,7,?,121,721

Express the sum using summation notation. Thank you.

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.

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

Determine whether the sequence is increasing, decreasing, or not monotonic. an = 1/(6n+7) 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)...

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)

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

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

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...

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

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

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