Answer:
.
Step-by-step explanation:
It is given that the sum of first two terms of an infinite GP is 6.
nth term of a GP is
...(1)
Each term is 5 times the sum of the succeeding terms.
Divide both sides by a.
![[\text{Sum of infinite GP}=\dfrac{a}{1-r}]](https://tex.z-dn.net/?f=%5B%5Ctext%7BSum%20of%20infinite%20GP%7D%3D%5Cdfrac%7Ba%7D%7B1-r%7D%5D)
The common ratio is 1/6.
Put r=1/6 in (1).
Second term 
Therefore, the second term is .
Answer:
a = 2/3
Step-by-step explanation:
A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.
a = 2/3
_____
<em>Additional comment</em>
You can see the relationship between a root index and an exponent if you consider what the root means.
Consider a cube root, for example. When you cube the root, you get the original number:
(∛x)·(∛x)·(∛x) = x
Now, let's write the root as a power of x: x^a.
(x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x
We know this product is ...
x^(a+a+a) = x^(3a) = x^1
This tells us that ...
3a = 1 ⇒ a = 1/3
That is, ∛x = x^(1/3).
Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).
Answer:
471.24
Step-by-step explanation:
Not sure if I'm right but i think the answer is C.
If a figure has four sides, its not always a square. It could be a trapezoid, or another four sided shape. The other converses for A and B are true.
