Respuesta :

Answer:

see explanation

Step-by-step explanation:

To calculate the first 3 terms substitute n = 1, 2, 3 into the n th term rule

[tex]a_{1}[/tex] = 25 - (3 × 1) = 25 - 3 = 22

[tex]a_{2}[/tex] = 25 - (3 × 2) = 25 - 6 = 19

[tex]a_{3}[/tex] = 25 - (3 × 3) = 25 - 9 = 16

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consider 3 × 8 = 24 ⇒ 25 - 24 = 1

consider 3 × 9 = 27 ⇒ 25 - 27 = - 2 ← first negative term of the sequence

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Substitute the first 3 terms in (1, 2, 3)

25 - 3(1) = 22

25 - 3(2) = 19

25 - 3(9) = 16

The first 3 terms would be 22, 29 and 16

To do part b, find the first value that, when multiplied by 3, gives a value larger than 25

This would be 9

25 - 3(9) = -2

It would be -2

Hope This Helps You

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