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2 years ago

A recursive rule for an arithmetic sequence is a1 = -4; an = an - 1 + 11

Mathematics

1 answer:

STALIN [3.7K]2 years ago

7 0

Step-by-step explanation:

a1 is already defined : a1 = -4

since an = an-1 + 11, we know d (the constant being added from term to term) is 11.

d = 11

the basic iterative rule is also already defined :

an = an-1 + 11

but we can always also express this in terms of a1 :

an = a1 + 11×(n-1)

therefore,

a10 = -4 + 11×9 = -4 + 99 = 95

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If y=3x - 5, find the value of y when x = -1yn

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Answer:

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2 years ago

If the area of a square is 100 cm2, what is the perimeter?

Vitek1552 [10]

Answer:

Step-by-step explanation:

To find the perimeter, first we need to find the side lengths.

If 100 cm is the area then we need to find what number squared is 100

10 x 10 = 100

So 10 is the side length. P= s + s + s +s

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2 years ago

Pls help i will mark brainliest!:) thank you!;D

pashok25 [27]

<h2>ANSWER</h2>

Here the two points given on the graph A and B

To find : The distance in between the two points we know distance in between two point on a graph 

= 

 $\sqrt{ {(x2 - x1)}^{2} } + \sqrt{ {(y2 - y1)}^{2} }$ 

The Point A = (0,0)

The point B = (3,6)

so the distance in between points A and B 

 $\sqrt{ {(0 - 0)}^{2} } + \sqrt{ {(6 - 3)}^{2} }$ 

 $\sqrt{ {3}^{2} }$ 

 $3$ 

So 3.0 is the distance

Hope it helps

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2 years ago

Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.

mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

#SPJ1

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1 year ago