Step-by-step explanation:
Explanation:
The trick is to know about the basic idea of sequences and series and also knowing how i cycles.
The powers of i will result in either: i, −1, −i, or 1.
We can regroup i+i2+i3+⋯+i258+i259 into these categories.
We know that i=i5=i9 and so on. The same goes for the other powers of i.
So:
i+i2+i3+⋯+i258+i259
=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)
We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.
=65(i)+65(i2)+65(i3)+64(i4)
From here on out, it's pretty simple. You just evaluate the expression:
=65(i)+65(−1)+65(−i)+64(1)
=65i−65−65i+64
=−65+64
=−1
So,
i+i2+i3+⋯+i258+i259=-1
Yes.....................
hope this helps
1) Find the mean of the following numbers: 5, 11, 8, 8, 7, 4, 10, 9, 7, 7, 6
SashulF [63]
Mean = 5+11+8+8+7+4+10+9+7+7+6 divided by the number of observations which is 10
Therefore, mean = 73/10
Mean = 7.3
Answer:
of ice cream
Step-by-step explanation:
Given
Number of friends = 8
Size of ice cream = 1/6 quarts
Required
Total ice cream served
Let n represent the number of friends, s represent the size of ice cream and t represents total ice cream served;
t is calculated as thus;
Divide numerator and denominator by 2
Hence, she serves in total
<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.
