Question

As your costumer increases, your list goes as follows, 12, 14, 16, 18,....

Answer 1

Answer:

1. 24

2. $10+2n$ where n denotes number of days.

3. 70

Step-by-step explanation:

1.

Consider the sequence: $12,14,16,18,...$

Here,

$14-12=2\\16-14=2\\18-16=2$

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

Use the formula: $a_n=a+(n-1)d$

To find expected gain at the end of the week, find $a_7$

$a_7=12+(7-1)2\\=12+6(2)\\=12+12\\=24$

2.

Yes, the gain shows the pattern.

Put $a=12,d=2$ in $a_n=a+(n-1)d$

$a_n=12+(n-1)2\\=12+2n-2\\=10+2n$

Here, n denotes number of days.

3.

To find expected gain at the end of 30  days, put $n=30$ in $a_n=10+2n$

$a_{30}=10+2(30)\\ =10+60\\=70$