Answer:
Step-by-step explanation:
Start by doing a much simpler problem
One
i^0 = 1
i^1 = i
i^2 = i^2 = - 1
i^3 = i^3 = (-1) * i = -i
i^4 = i^4 = (i)^2 * i^2 = -1 * -1 = 1
So now you are ready to tackle the question you were given.
Two
Every 4th power of i repeats itself. You must get one of the four answers above.
So divide 5689 by 4. What do you get?
1422.25
What does that mean?
It means that you run through the cycle of four 1422 times. What does that mean?
1 * 1 * 1 * 1 * 1 * 1 * 1 * 1 ....................................*1
There are 1422 ones in that expression.
What about the 0.25? What about that?
That means that you have one i left over.
So the answer is i
Three
The simple question defines the pattern which will repeat itself over and over again. By knowing how the simple pattern works you can develop any power of i. For example
i^15622 =
3905.5
0.5 is the same as 2/4
i^2 = -1
i^15622 = - 1
when multiplying scientific notation all you' do is move the decimal whatever times the exponent says or the little number on the 10. Move it to the right when its positive and when its negative move it to the left . I hope that helped :)
doesn't the thing in the box tell you how much for 90 cookies ?
MBOA=360-250=110, so mBDA= half of mBOA=55
mBCA=180-mBOA=180-110=70
mBDA=55 and mBCA=70
Answer:
Step-by-step explanation:
The numbers don’t increase by a constant amount, so this is not an arithmetic sequence.
It appears to be a <em>geometric sequence</em>.
The <em>general formula</em> for each term in a geometric sequence is
aₙ = a₁rⁿ⁻¹
===============
Calculate the value of r
You can calculate the r-value by dividing any two consecutive terms in the sequence.
rₙ = aₙ/aₙ₋₁
a₂/a₁ = 4.5/3 = 1.5
a₃/a₂ = 6.75/4.5 = 1.5
a₄/a₃ = 10.125/6.75 = 1.5
a₅/a₄ = 15.1875/10.125 = 1.5
r = 1.5
===============
Determine the formula for the nth term
a₁ = 3; r = 1.5 Substitute the values
aₙ = 3(1.5)ⁿ⁻¹ Write the equation as a function of x
