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2 years ago

Use the explicit rule to find the 22nd term of the sequen e 5,8.11

Mathematics

1 answer:

liubo4ka [24]2 years ago

4 0

Answer:

Step-by-step explanation:

The first differences of the given terms are ...

8 -5 = 3

11 -8 = 3

These are the same value, so we see this sequence is an arithmetic sequence with a common difference of 3. The first term is 5.

The explicit formula for the n-th term is ...

an = a1 +d(n -1)

We know a1=5, d=3, and we want to find the value for n=22. Hence ...

a22 = 5 +3(22 -1) = 5 +63 = 68

The 22nd term is 68.

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Answer:

The first graph.

Step-by-step explanation:

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Hello,

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2 years ago

Two rectangular prisms have a combined volume of 432 cubic feet. Prism A has half the volume of Prism B.

dexar [7]

Answer:

a. 144 cubic foot

b. 12 ft

c. 18 ft

Step-by-step explanation:

Let the volume of prism A be V_a

and that of prism b be V_b

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also V_a= 0.5 V_b

⇒1.5 V_b= 432

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3 years ago

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denis-greek [22]

Answer:

Part a) $AB=15\ cm$

Part b) $AB=11.1\ cm$

Part c) $AB=3/5\ cm$

Part d) $AB=3s\ cm$

Step-by-step explanation:

see the attached figure to better understand the question

we know that

To find the length of the image after a dilation, multiply the length of the pre-image by the scale factor

Part a) we have

The scale factor is 5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(5)=15\ cm$

Part b) we have

The scale factor is 3.7

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(3.7)=11.1\ cm$

Part c) we have

The scale factor is 1/5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(1/5)=3/5\ cm$

Part d) we have

The scale factor is s

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(s)=3s\ cm$

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Answer:

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