Answer:
B
Step-by-step explanation:
3 -4 | 2
0 -1 | 7
3/2 -2 | 1
R1/3 ----> R1 (divide Row 1 by 3)
1 -4/3 | 2/3
0 -1 | 7
3/2 -2 | 1
R3 - 3/2 R1 -------> R3 (multiply Row 1 by 3/2 and subtract it from Row 3)
1 -4/3 | 2/3
0 -1 | 7
0 0 | 0
R2 / -1 -------> R2 (Divide Row 2 by -1)
1 -4/3 | 2/3
0 1 | -7
0 0 | 0
R1 + 4/3 R2 --------> R1 (Multiply Row 2 by 4/3 and add it to Row 1)
1 0 | -26/3
0 1 | -7
0 0 | 0
Step Number 1. is to Simplify
Step Number 2. <span>Simplify so you get </span>
Done! :)
I'm guessing the series is supposed to be
By the ratio test, the series converges if the following limit is less than 1.
The first
terms in the numerator's denominator cancel with the denominator's denominator:
also cancels out and the remaining factor of
can be pulled out of the limit (as it doesn't depend on
).
which means the series converges everywhere (independently of
), and so the radius of convergence is infinite.
Answer:
8 for $2.08
Step-by-step explanation:
<span>20, 19, 13, 23, 16, 15, 17, 17, 15, 15, 22, 19
</span>To find the Median, place the numbers in value order<span> and find the </span>middle<span>.
</span>
13, 15, 15, 15, 16, 17, 17, 19, 19, 20, 22, 23
There are 12 numbers and so we don't have just one middle number, we have a pair of middle numbers:
13, 15, 15, 15, 16,
(17, 17), 19, 19, 20, 22, 23
<span>To find the value halfway between them, add them together and divide by 2:
</span>
17 + 17 = 34
34 ÷ 2 = 17
So the median is A) 17.