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melomori [17]
3 years ago
9

Jeremy can determine the total number of miles walked at a constant speed by using the formula an=an-1+3 if a1=2, what are the f

irst three terms of the sequence?
A. 2,5,8
B. 2,6,18
C. 2,-1,-4
D. 2,4,6
Mathematics
1 answer:
ANTONII [103]3 years ago
6 0
If the recursive formula is a(n)=a(n-1)+3 and a1=2 then the explicit formula is:

a(n)=2+3(n-1) which simplifies to

a(n)=2+3n-3

a(n)=3n-1 so the first three terms are a(1), a(2), and a(3) which are:

2, 5, and 8
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Suppose Cotangent (theta) = StartFraction 5 Over 12 EndFraction, where Pi less-than theta less-than StartFraction 3 pi Over 2 En
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Answer:

Sin theta = 12/13

Step-by-step explanation:

From the question;

Cot theta = 5/12

Kindly recall;

Cot theta = 1/ tan theta

Hence, tan theta = 12/5

Mathematically

tan theta= opposite/adjacent

to get hypotenuse, we will use Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides

let hypotenuse be h

h^2 = 12^2 + 5^2

h^2 = 144 + 25

h^2 = 169

h = √169

h = 13

But sine theta = opposite/ hypotenuse = 12/13

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