Question

Shortcut to find the following sum (in the next post):

Answer 1

\[\sum_{n=0}^{25}\frac{ 1 }{ 4^{n} }\]

Answer 2

Sum from n = 0 to 25, (1/4^n)

Answer 3

The answer should be 1.33

Answer 4

This is just a geometric progression with a=1 and r=0.25 and n=26 :)

Answer 5

ok thanks

Answer 6

I got it now :D

Answer 7

The formula for the sum is \(\dfrac{a(1-r^n)}{1-r}\) if r<1 or \(\dfrac{a(r^n-1)}{r-1}\) if r>1

(The two formulas are the same)

Answer 8

no problem :)