Answer:
for every 2 tables there are 10 chairs, so for 12 tables there are 60 chairs
Addition bc. you need adding to both sides x and will get this result of 3x+2 = 11
hope helped
Answer:
The series converges to
for
Step-by-step explanation:
Given the series is ![$ \sum_{n=0}^{\infty} 9^n x^n $](https://tex.z-dn.net/?f=%24%20%5Csum_%7Bn%3D0%7D%5E%7B%5Cinfty%7D%209%5En%20x%5En%20%24)
We have to find the values of x for which the series converges.
We know,
converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here,
is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for ![$ \frac{-1}{9} < x < \frac{1}{9} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B-1%7D%7B9%7D%20%3C%20x%20%3C%20%5Cfrac%7B1%7D%7B9%7D%20%24)
And geometric series converges to ![$ \frac{a}{1-r} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7Ba%7D%7B1-r%7D%20%24)
Here, a = 1 and r = 9x
Therefore, ![$ \frac{a}{1-r} = \frac{1}{1-9x} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7Ba%7D%7B1-r%7D%20%3D%20%5Cfrac%7B1%7D%7B1-9x%7D%20%24)
Hence, the given series converges to
for ![$ \frac{-1}{9} < x < \frac{1}{9} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B-1%7D%7B9%7D%20%3C%20x%20%3C%20%5Cfrac%7B1%7D%7B9%7D%20%24)
Answer:
Base shape of cylinder is Circle
Step-by-step explanation:
A three dimensional curved solid shape which have circular base on the both sides.