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2 years ago

14

Match the sequences with the type of sequence (arithmetic or geometric).

1 answer:

Anni [7]2 years ago

3 0

9, 4, -1, -7
Arithmetic because it has a common difference of 5.

4, 10, 16, 22
Arithmetic because it has a common difference of 6.

2, -6, 18, -54
Geometric because it has a common ratio of -3.

4, 4, 4, 4
Both because it has a common difference of 0 and a common ratio of 1.

Hope this helps :)

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Cube A and Cube B are similar solids. the volume of cube A is 27 cubic inches , and the volume of cube B is 125 cubic inches. ho

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Use geometric series to find the fraction of 0.8967898989

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I'm guessing the repeating part is 89 at the end, so that

$x=0.8967\overline89\implies10^4x=8967.\overline{89}$

Then

$10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}$

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###

An arguably quicker way without using geometric series:

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3 years ago

What is the answer explain please

eduard

Answer:

Pattern B

<h3> Explain: </h3>

A quadratic relationship is characterized by constant second differences.

<em><u>Pattern A </u></em>

Sequence: 0, 2, 4, 6

First Differences: 2, 2, 2 . . . . constant indicates a 1st-degree (linear, arithmetic) sequence

__________________________________________________________

<em><u>Pattern B</u></em>

Sequence: 1, 2, 5, 10

First Differences: 1, 3, 5

Second Differences: 2, 2 . . . . constant indicates a 2nd-degree (quadratic) sequence

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<em><u>Pattern C</u></em>

Sequence: 1, 3, 9, 27

First Differences: 2, 6, 18

Second Differences: 4, 12 . . . . each set of differences has a common ratio, indicating an exponential (geometric) sequence

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