What is the common ratio of the geometric sequence 16, 24, 36, 54, ...?
2 answers:
Answer: The required common ratio of the given geometric sequence is
Step-by-step explanation: We are given to find the common ratio of the following geometric sequence :
16, 24, 36, 54, . . .
We know that
the common ratio of a geometric sequence is the ratio of any term to its preceding term.
For the given sequence, we have
a(1) = 16, a(2) = 24, a(3) = 36, a(4) = 54, . . .
So, we get
Thus, the required common ratio of the given geometric sequence is
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Answer:
- A = $52.00
- B = $6.30
Step-by-step explanation:
<h3>A. How much Bill paid AFTER the discount.</h3>Step 1: Convert the discounted percent to decimal
20% = 0.2
Step 2: Multiply the discount to the item regularly priced
0.2(65.00) = 13
So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:
Step 3: Subtract the result (the discount Bill received) from the regular price
$65.00 - $13.00= $52.00
Therefore, Bill paid $52.00
<h3>B. The price of the pillow in the department store.</h3>Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price
$4.50 × 40% = 1.8
- Set up a fraction
- The reciprocal of both sides gives
x = 1.8
Step 2: Add the result to the wholesale price for the pillow
4.50 + 1.8 = $6.3
Step 3: Round to the nearest cent
Add a zero behind the result = 6.30
Therefore, the price of the pillow in the department store is $6.30