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OverLord2011 [107]
3 years ago
15

Write the first five terms of the sequence defined by the recursive formula an=2*(an-1)+3 with a1=-2

Mathematics
1 answer:
Tasya [4]3 years ago
5 0

Answer:

<u>The first five terms of the sequence are 5, 7, 9, 11 and 13.</u>

Step-by-step explanation:

The first five terms of the sequence are:

a₁ = 2 * (2 - 1) + 3 = 2 * 1 + 3 = 2 + 3 = 5

a₂ = 2 * (3 - 1) + 3 = 2 * 2 + 3 = 4 + 3 = 7

a₃ = 2 * (4 - 1) + 3 = 2 * 3 + 3 = 6 + 3 = 9

a₄ = 2 * (5 - 1) + 3 = 2 * 4 + 3 = 8 + 3 = 11

a₅ = 2 * (6 - 1) + 3 = 2 * 5 + 3 = 10 + 3 = 13

<u>The first five terms of the sequence are 5, 7, 9, 11 and 13.</u>

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Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

                         f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2

- The plot is given in the document attached.

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Download docx
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