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In a music stadium, <em>35th </em>row has <em>120</em> seats
and explicit formula is <em> </em>is explicit formula for given sequence.
Step-by-step explanation:
In music stadium, there are 18 seats in first row and 21 seats in second row and it is continuously increasing by 3
Here, Arithmetic sequence is 18,21,24,27.....120
There Arithmetic sequence is given as a,a+d,a+d......a+(n-1)d
Where, a = First term = 18 and d = Increment = 3
Q (a) Write an explicit rule to model the sequence formed by the number of seats in each row.
Now, Create an explicit formula
<em> is explicit formula for given sequence.</em>
Q (b) Use the rule to determine which row has 120 seats.
Given
To determine which row has 120 seats.
Therefore, 35th row has 120 seats
If Brandi purchases x albums and y singles, then x albums cost $10x and y singles cost $y. She wants to spend no more than $25 total, then
Brandi wants to purchase at least 5 singles. This means that
Note that x and y are whole numbers.
There are three possibility:
- x = 0, y = 25 (the total cost is 10·0 + 1·25 = 25 ≤ 25 and 25 singles is more than 5 singles);
- x = 1, y = 15 (the total cost is 10·1 + 1·15 = 25 ≤ 25 and 15 singles is more than 5 singles);
- x = 2, y = 5 (the total cost is 10·2 + 1·5 = 25 ≤ 25 and 5 singles is equal to minimal required number of singles).
Answer: 1) 0 albums and 25 singles;
2) 1 album and 15 singles;
3) 2 albums and 5 singles.