What is the 214 term in the sequence 7,10,13,16?
1 answer:
We can figure this out using the explicit formula.
n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.
f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n
Now, we can input 214 for n and solve.
f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646
The 214th term in this sequence is 646.
n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.
f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n
Now, we can input 214 for n and solve.
f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646
The 214th term in this sequence is 646.
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Answer:
Step-by-step explanation:
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Question is Incomplete, Complete question is given below.
One evening 1500 concert tickets were sold for the Jazz Fest. Tickets cost $25 for covered pavilion seats and $15 for lawn seat. Total receipts were $28,500. How many of each type of ticket were sold?
Answer:
Number of Pavilion seat is 600 and number of lawn seats is 900.
Step-by-step explanation:
Given:
Total Number of ticket sold = 1500
Let number of Pavilion seat be x.
Let number of lawn seats be y.
hence the equation can be framed as;
Also Given
Total Amount made = $28,500
Cost of pavilion seat = $25
Cost of lawn seat = $15
Total Amount made is equal to Cost of pavilion seat multiplied by number of Pavilion seat plus Cost of lawn seat multiplied by number of lawn seats.
Dividing by 5 on both side we get;
Now Multiplying equation by 3 we get;
Now Subtracting equation 3 from 2 we get;
Substituting the value of x in equation 1 we get;
Hence Number of Pavilion seat is 600 and number of lawn seats is 900.