Answer:
r = -5. Find the pattern and write the recursive formula: a_n + 1 = - 5 a_nGiven the recursive formula: r =
<h3>
Answer: -i</h3>
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Explanation:
i = sqrt(-1)
Lets list out the first few powers of i
- i^0 = 1
- i^1 = i
- i^2 = -1
- i^3 = i*i^2 = i*(-1) = -i
- i^4 = (i^2)^2 = (-1)^2 = 1
By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.
For example, i^5 = i^1 because 5/4 leads to a remainder 1.
Another example: i^6 = i^2 since 6/4 = 1 remainder 2
Again, we only care about the remainder to find out which bin we land on.
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Turning to the question your teacher gave you, we have,
739/4 = 184 remainder 3
So i^739 = i^3 = -i
<h3>
-i is the final answer</h3>
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Side notes:
- if i^a = i^b, then a-b is a multiple of 4
- Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.
Answer:
-5/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-29-(-9))/(15-7)
m=(-29+9)/8
m=-20/8
simplify
m=-5/2
You are suppose to use a ruler to rotate the thing you need to rotate
Answer:
40°
Step-by-step explanation:
Measure of Nonagon (9-sided polygon) = 1260°
Each angle measure = 1260 ÷ 9 = 140°
The value of x (the outside angle) = 180° - 140° = 40°
