Answer:
25
Step-by-step explanation:
8*5=40
40+6=46
46-10=36
36-9=25
24cm
26cm
5cm
4cm
25cm
28cm
24*5*25=125*24=3000
26*4*28= 2918
the oat cereal has a greater volume than the rice cereal
83 + 94 + 79 + 97 + 96 + 87 = 536.
536 ÷ 6 = 89.333333...
So, Lamonts' average is under 90.
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
