The formula that describes the sequence is 
Step-by-step explanation:
The nth-term formula for a geometric sequence is 
, where
- a represents the first term of the sequence
- r signifies the common ratio between any two consecutive terms
= 
∵ The sequence is 
, -4, -24, -144,.......
∵ The first term is
∵ The second term is -4
∴ 
∵ The third term is -24
∴ 
∵ The fourth term is -144
∴ 
∵ 
= = 
= 6
∴ There is a consistent ratio between two consecutive terms
∴ The sequence qualifies as a geometric sequence
∵ The formula for the nth term of the geometric sequence is
∵ a =
∵ r = 6
∴ The equation for the sequence is
The formula that can be employed to outline the sequence is
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You can explore more about sequences in
I trust this information is useful to you.
Let a represent the number of adults.
Then, the number of children will be 500-a.
From here, we set up the equation: 17.95×a + 12.95×(500-a) = 7355.
This simplifies to 17.95a + 6475 - 12.95a = 7355.
Which results in 5a = 880.
Thus, a = 176.
Answer:
1%
Step-by-step explanation:
The selling price for each radio is $2288.
Total selling price is 
$4576.
Profit is 10%.
Loss is also 10%.
Cost price=
Cost price=
Utilizing the formula,
Cost price of the first radio is 
$2080.
Cost price of the second radio is 
=$2542.2.
The combined cost price for both radios totals 2080+2542.2=$4622.2.
Total cost price exceeds total selling price.
Loss equals selling price minus cost price.
Loss is calculated as 4622.2-4576=$46.2.
Loss%=
Loss percentage is 
1%.
Thus, the loss is 1%.
Question 1: (2.2, -1.4). Question 2: (1.33, 1). Providing a detailed analysis, the equations for the given lines are specified as (1) passing through points (0, 2.5) and (2.2, 1.4), and (2) through (0, -3) and (2.2, -1.4). We are tasked with locating a common solution or intersection of these equations. This leads to finding x = 2.2, and consequently y = -1.4. Therefore, the solution set is (2.2, -1.4). For question 2, the equations yield a solution of (1.33, 1).
