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As your costumer increases, your list goes as follows, 12, 14, 16, 18,....
Questions:
1. If what you gain daily continues in this manner, how much gain can you
expect at the end of the week?

2. is your gain shows a pattern? If yes, find its general rule.

3. Using the general rule, compute for your expected gain at the end of 30
days.​

Respuesta :

Answer:

1. 24

2. [tex]10+2n[/tex] where n denotes number of days.

3. 70

Step-by-step explanation:

1.

Consider the sequence: [tex]12,14,16,18,...[/tex]

Here,

[tex]14-12=2\\16-14=2\\18-16=2[/tex]

Take the common difference as d = 2 and the first term as a = 12

Use the formula: [tex]a_n=a+(n-1)d[/tex]

To find expected gain at the end of the week, find [tex]a_7[/tex]

[tex]a_7=12+(7-1)2\\=12+6(2)\\=12+12\\=24[/tex]

2.

Yes, the gain shows the pattern.

Put [tex]a=12,d=2[/tex] in [tex]a_n=a+(n-1)d[/tex]

[tex]a_n=12+(n-1)2\\=12+2n-2\\=10+2n[/tex]

Here, n denotes number of days.

3.

To find expected gain at the end of 30  days, put [tex]n=30[/tex] in [tex]a_n=10+2n[/tex]

[tex]a_{30}=10+2(30)\\ =10+60\\=70[/tex]

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