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Kazeer [188]
3 years ago
10

What is the explicit formula for this sequence?

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

<em>Greetings from Brasil...</em>

With the recursive formula, lets build the sequence:

A1 = 4

A2 = A1 - 7

A3 = A2 - 7

A4 = A3 - 7

A5 = A4 - 7

(...)

But pay attention to A3....

A3 = A2 - 7   but  A2 = A1 - 7 , so rewriting A3

A3 = (A1 - 7) - 7 ⇒ A3 = A1 + 2.(- 7)

A4 = A3 - 7 ⇒ A4 = [(A1 - 7) - 7] - 7 = A1 + 3.(- 7)

A5 =  {[(A1 - 7) - 7] - 7} - 7 = A5 + 4.(- 7)  

so

<h3>An = A1 + (n - 1).(- 7)</h3>

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<span>200 < 225 + 80x < 550

The 200 is the amount the Jenna currently have. 
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