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anygoal [31]
3 years ago
8

Skate World offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what

is the maximum number of people who can attend?
Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0
The max amount of ppl is 20
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Ilia_Sergeevich [38]

The recursive formula of the geometric sequence is given by option D; an = (1) × (5)^(n - 1) for n ≥ 1

<h3>How to determine recursive formula of a geometric sequence?</h3>

Given: 1, 5, 25, 125, 625, ...

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an = a × r^(n - 1)

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an = (1) × (5)^(n - 1) for n ≥ 1

Learn more about recursive formula of geometric sequence:

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{x}^{3}  + (a + b) {x}^{2}  - 4x + 2 \\  =  {x}^{3}  + 5 {x}^{2}  - (2a - b)x + 2 \\  \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2}  = 5 {x}^{2}   \\  \implies \: a + b = 5.....(1) \\  \\  - (2a - b)x =  - 4x \\ 2a - b = 4....(2) \\  \\ adding \: equations \: (1) \: and \: (2) \\  \\ 3a = 9 \\   \implies \: a =  \frac{9}{3}  \\   \huge \red{ \boxed{\implies \: a = 3}} \\  \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\   \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies  b = 2}}

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