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Margarita [4]
2 years ago
12

Work out an expression for the nth term of this sequence. 3, 11, 19, 27, …

Mathematics
1 answer:
Drupady [299]2 years ago
6 0

Answer:

8n-5

Step-by-step explanation:

Find the difference between the numbers, +8 so 8n then subtract the diffference from the first number so 3 - 8= -5

The expression will be 8n - 5

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Step-by-step explanation:

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Write an exponential function for graph that passes through the following points (-3,80);(-1,20)
padilas [110]

Answer:

y

=

4

(

1

2

)

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Explanation:

An exponential function is in the general form

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(

−

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(

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=

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b

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b

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=

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Multiply both sides of the first equation by

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2

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8

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b

2

=

8

b

2

b

2

=

1

4

b

=

±

1

2

Two equations seem to be possible here. Plug both values of

b

into the either equation to find

a

. I'll use the second equation for simpler algebra.

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

Giving us the equation:

y

=

4

(

1

2

)

x

If

b

=

−

1

2

:

2

=

a

(

−

1

2

)

a

=

−

4

Giving us the equation:

y

=

−

4

(

−

1

2

)

x

However! In an exponential function,

b

>

0

, otherwise many issues arise when trying to graph the function.

The only valid function is

y

=

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(

1

2

)

x

7 0
3 years ago
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