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Free_Kalibri [48]
2 years ago
8

Below are the first several terms in a sequence. 0.4, 2, 10, 50, .. Part A Write a formula for the nth term of the sequence. Be

sure to specify a starting value of n.​
Mathematics
1 answer:
bixtya [17]2 years ago
8 0

Answer:

  • aₙ = 0.4*5ⁿ⁻¹

Step-by-step explanation:

<u>Given sequence:</u>

  • 0.4, 2, 10, 50, ...

<u>The first term is:</u>

  • a₁ = 0.4

<u>The common ratio is:</u>

  • r = 50/10 = 10/2 = 2/0.4 = 5

<u>The formula for the nth term is:</u>

  • aₙ = a₁rⁿ⁻¹
  • aₙ = 0.4*5ⁿ⁻¹
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Step-by-step explanation:

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3 years ago
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3 years ago
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Sophie [7]

Answer:

\frac{x - 4}{x - 7}

Step-by-step explanation:

\frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 }  \\  \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6)  \\ and \: we \: will \: be \: left \: with \:  \frac{x - 4}{x - 7}

3 0
3 years ago
Read 2 more answers
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