Respuesta :

Answer:

[tex]for \: a \\ \\11 \times 2 + 1 = 22 + 1 = 23 \\ 23 \times 2 + 1 = 47\\ for \: b \\ the \: third \: term \: is \: 17 \\ \frac{17 - 3}{2} = \frac{14}{2} = 7 \\ \frac{7 - 3}{2} = \frac{4}{2} = 2 \\ the \: first \: term \: is \: 2[/tex]

Answer:

a) 23, 47    b) 2

Step-by-step explanation:

a)  It gives you the pattern, so you can use it to find the next two terms:

11 x 2 + 1 = 22 + 1 = 23

23 x 2 + 1 = 46 + 1 = 47

b)  It gives you the pattern, so you can use it to find the first term:

Work backwards this time because you need to find what comes before the 17.

? x 2 + 3 = 17

? x 2 = 17 - 3

? x 2 = 14

? = 14 ÷ 2

? = 7

7 is the second term. Find the first term:

? x 2 + 3 = 7

? x 2 = 7 - 3

? x 2 = 4

? = 4 ÷ 2

? = 2

The first term is 2.

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