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hram777 [196]
2 years ago
6

Consider the sequence 3, 9, 15, 21, ...

Mathematics
1 answer:
tino4ka555 [31]2 years ago
7 0

Answer:

The ordered pair to represent the second term as an ordered pair is:

  • (2, 9)

Step-by-step explanation:

<u>Background knowledge about the sequence function</u>

A sequence is defined as the function whose domain is the set of natural numbers (counting numbers).

1,        2,        3,       4,     ....        n,   ....  

↓

a₁,       a₂,      a₃,      a₄,    ....       aₙ,   ....

Here,

1 gets mapped onto a₁,

2 gets mapped onto a₂, and so on

The numbers a₁,       a₂,      a₃,      a₄,    ....       aₙ,   .... are the terms of the sequence.

The number aₙ is the nth term of a sequence.

And the sequence function is denoted by {aₙ}.

Given the sequence

3, 9, 15, 21, ...

Here,

a₁ = 3 is the first term

a₂ = 9 is the second term

Thus, the ordered pair to represent the second term as an ordered pair is:

  • (2, 9)
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Workers in an office of 60 staff were asked their favourite type of take-away.
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Answer:

a = 84°

b = 36°

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d = 84°

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Step-by-step explanation:

The parameters of the workers in the office are;

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The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively

The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively

In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;

∠a = 360° × 14/60 = 84°

∠b = 360° × 6/60 = 36°

∠c = 360° × 4/60 = 24°

∠d = 360° × 14/60 = 84°

∠e = 360° × 22/60 = 132°

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3 years ago
Angle C and angle D are supplementary. If the measure of angle D is 84 degrees, what is the measure
garik1379 [7]

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Hope this helped :)

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The range is (-3,∞)

Step-by-step explanation:

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