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
Answer:
144
Step-by-step explanation:
Because the horizontal lines are parallel <7 is the same as <4. Because <1 and <7 are on a straight line they must add up to 180. <7 + 36 = 180 so <7=144 so <1 is also 144.
Answer:thats your answer
Step-by-step explanation:
Answer:
the answer is attached in the picture
I believe it should be 4. Because a trend line should be a line that shows the trend haha so it should be equal. Not sure if that makes sense sorry if I didnt explain it well.
