Answer:
4√2 × 4√8 = 64, an integer.
Step-by-step explanation:
a) 4√2 × 4√8
First let's remember that a square root can be rewritten as a 1/2 exponent,
Therefore the expression we have can be rewritten as
We are going to write all numbers in their prime factor expressions:
<u>*Note: Remember that when we multiply two numbers with the same base but different exponents we sum up the exponents*</u>
<u>*Also, when we elevate one exponent to another exponent, we multiply the exponents*</u>
Therefore, the expression 4√2 × 4√8 = 64 and therefore is an integer
Clearly, the general for the
-th term is
(Aside: given the simple pattern, it's curious why the terms would be given the way they are. It's easier to divine
from
, but that's just my opinion.)
The sequence does not converge. As
, so does
.
The answer is C. I got this by doing a^2 + b^2= c^2. 50^2 + 16^2=c^2, 2500 + 256 = c^2, 2756 = c^2, then you take the square root of 2756 and that gives you your answer 52.50 yards. Hope this helps :D
Answer:
Step-by-step explanation:
first you add all the numbers together-
15+16+20=51
you add them up as shown-
=51
and the divide by 3, because you added up 3 numbers-
51/3=17
so your answer is 17
