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Xelga [282]
3 years ago
12

PLS HELP. Find the first four terms of the recursive sequence defined by the following formula:

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula a_{n} = \frac{a_{n-1} }{4} and

a_{4} = 2 \frac{1}{4} = \frac{9}{4}, then

\frac{a_{3} }{4} = \frac{9}{4} ( multiply both sides by 4 )

a₃ = 4 × \frac{9}{4} = 9

\frac{a_{2} }{4} = 9 ( multiply both sides by 4 )

a₂ = 36

\frac{a_{1} }{4} = 36 ( multiply both sides by 4 )

a₁ = 144

The first 4 terms are

144, 36, 9, 2 \frac{1}{4}

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FUNDRAISING A school is raising money by selling calendars for $20 each. Mrs. Hawkins promised a party to whichever of her Engli
____ [38]

Rj, this is the solution to question 19:

• 1st period class sold 60 calendars in total

,

• 2nd period class sold 123 calendars in total

We calculate the average per week, this way:

• 1st period class sold 60/4 = 15 calendars per week

,

• 2nd period class sold 123/4 = 30.75 calendars per week

In consequence the multiplication equation that represents this situation is:

15w + 30.75w = 183, where w is the number of weeks Mrs. Hawkins' classes sold calendars.

This is the solution to question 20:

We already know the average number of calendars that 1st and 2nd period classes sold per week. Now, let's calculate the average for 3nd 4th peiod classes, this way:

• 3rd period class sold 89 calendars in total

,

• 4th period class sold 126 calendars in total

Therefore, the average is:

• 3rd period class sold 89/4 = 22.25 calendars per week

,

• 4th period class sold 126/4 = 31.5 calendars per week

Summarizing, we have:

15 + 30.75 + 22.25 + 31.5 = 99.5 calendars was the average number sold by all her classes in a week.

•

7 0
1 year ago
Given f(x)-x-5,solvr for x when f (x)=4
malfutka [58]

Answer:

-1-x

Step-by-step explanation:

i think im not sure

6 0
3 years ago
(16x^2 - 25) ÷ (4x + 5)<br> DO NOT INCLUDE PARENTHESES IN YOUR ANSWER
Marina86 [1]
\cfrac{16x^2-25}{4x+5}=  \cfrac{(4x)^2-5^2}{4x+5}=  \cfrac{(4x-5)(4x+5)}{(4x+5)}= 4x-5
3 0
3 years ago
If f(x)=3x-1 and g(x)=x+2 find (f+g)(x)
galben [10]
(f+g)(x)=3x-1+x+2=4x+1
5 0
3 years ago
Your bank granted you a single payment loan of 2,500 for 90 days at 10 percent interest. What is the interest on the loan?
viva [34]

Answer:

62.5 interest on 2500 loan

Step-by-step explanation:

Given that,

amount of loan bank has granted = 2500

number of years = 90 days

                              90 days   = 3 month

                              3 months = 1/4 year = 0.25 year

interest rate = 10%

                     = 10 / 100

                     = 0.1

Formula to use

Principal * interest rate expressed as a decimal * time in years

2500 * 0.1 * 0.25

62.5

Hence, the interest on the loan of 2500 with 10% interest rate for 90 days is 62.5

3 0
3 years ago
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