I could send you a link on insta
Recursive Formula
The top row says the first term is 8
The bottom row says that to get the nth term, we subtract 7 from the (n-1)th term. So basically we subtract 7 from each term to get the next term.
Note the subscripts tell us which term we're working with.
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Arithmetic Formula
We have a = 8 as the first term and d = -7 as the common difference.
a(n) = a + d(n-1)
a(n) = 8 + (-7)(n-1)
a(n) = 8 - 7n + 7
a(n) = -7n+15
The nth term arithmetic formula is a(n) = -7n+15
If you plug in n = 1, you should get a(n) = 8
If you plug in n = 2, you should get a(n) = 1
and so on.
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Finding the 10th term
Plug in n = 10 to get
a(n) = -7n+15
a(10) = -7(10)+15
a(10) = -70+15
a(10) = -55
The 10th term is -55
Answer:
(cos π/4, sin π/4) or approx. (0.707, 0.707)
Step-by-step explanation:
The length of the blue ray is 1. That's the same for any ray drawn inside the circle.
Then a = cos π/4 and b = sin π/4.
The cartesian coordinates of the point (a, b) are
(cos π/4, sin π/4) or approx. (0.707, 0.707)
Answer:
8
Step-by-step explanation:
To find out how many brownies were eaten, multiply 48*5/6
48 *5/6 = 40
There were 48 brownies originally
48-40 = 8
That means 8 brownies were left to take home
Answer:
see below
Step-by-step explanation:
It would take 3 faucets 6/4 = 1.5 minutes to fill a 25-gallon tub since when the number of faucets stays the same, the volume of the tub and the time needed to fill the tub are directly proportional. However, when the volume of the tub stays the same, the number of faucets used and the time needed to fill the tub are <em>inversely</em><em> </em>proportional, therefore, if I double the number of faucets used, it will half the time needed, so the answer is 1.5 / 2 = 0.75 minutes or 45 seconds.
