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2 years ago

Find the explicit formula for the sequence: 2,5,8,11,14

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

4 0

Step-by-step explanation:

Given sequence is: 2,5,8,11,14

Here first term a = 2

Common Difference d = 3

$\because \: t_n = a +(n-1) d \\ \\ \therefore \: t_n = 2+(n-1) 3 \\ \\ \therefore \: t_n = 2+3n- 3 \\ \\ \huge \purple{ \boxed{\therefore \: t_n = 3n- 1}} \\ is \: the \: required \: explicit \: formula\\$

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Please help how to find the value of x and find the length of segment AD, the value is 5 I just need to show my work.

alexdok [17]

Answer:

9. x = 5

10. AD = 7

Step-by-step explanation:

As shown in the diagram, BD is a perpendicular bisector. And D is a point on the perpendicular bisector, meaning it is equidistant from the endpoints on the segment(points A and C). Because of this, we can say AD = CD.

We can substitute to get:

2x - 3 = x + 2

And simplify and solve:

x - 3 = 2

x = 5

AD is just 2x - 3, so we can substitute in x to find AD:

AD = 2(5) -3

AD = 10 - 3

AD = 7

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Answer:

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3 years ago

Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu

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Step-by-step explanation:

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