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Lady_Fox [76]
3 years ago
13

Write a recursive formula for the sequence –2, 4, –8, 16, ... please help and thank you

Mathematics
2 answers:
Alisiya [41]3 years ago
7 0

-2,4,-8,16,...

a₁ = -2

a₂ = -2a₁

a₃ = -2a₂

..................

=> aₙ₊₁ = -2•aₙ, with a₁ = -2

vaieri [72.5K]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows us to calculate any term in the sequence from the previous term.

These are the terms of a geometric sequence with r being the common ratio between consecutive terms.

r = 4 ÷ - 2 = - 8 ÷ 4 = 16 ÷ - 8 = - 2

Multiplying a particular term by - 2 gives the next term in the sequence.

Hence recursive formula is

a_{n+1} = - 2 a_{n} with a₁ = - 2

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Answer:

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3 years ago
The population of a small town is 39,668 and has been continuously declining at a 1.5% a year what will the population be in 13
anyanavicka [17]

Answer:  31, 932.74

Step-by-step explanation:

The population of the small town              =  39,668

Yearly rate of decline                                 = 1.5%

Therefore, to calculate 1.5% of 39,668       = 1.5  x 39,668

                                                                         ------------------

                                                                                  100

                                                                      =   595.02

So, the population is declining by 595.02 on yearly basis.

To ascertain what will the population would have declined to in the next 13 years,

We multiply ,                                                = 595.02 x 13

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Now population in 13 years                         = 39,668 - 7,735.26

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6 0
3 years ago
Antwon makes hot chocolate by mixing 2 cups of milk with 5 tablespoons of cocoa.
Yuki888 [10]

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Step-by-step explanation:

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3 years ago
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When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
kondaur [170]

Answer:

a)

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We can re-write the expression as follows:

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b)

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0

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irina1246 [14]

$540

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