What is a of n equal to? What is the 10tn term in the sequence?
1 answer:
Answer:
nth term,
10th term,
Step-by-step explanation:
From the question;
- We are given the first term,
- The common ratio, r = 2
We are required to write the formula of getting nth term and find the 10th term of the sequence;
- We need to know that for nth term in a geometric sequence, we use the formula;
Therefore, in this case;
nth term will be given by;
, where n is the term in the sequence;
Therefore;
To get the 10th term of the sequence;
Therefore, the tenth term of the sequence is 512
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where a and b are the coefficients of the function. For f(x), we have a = -1 and b = -16. Thus, we have
Since we now have the x-coordinate of the vertex, we can just easily substitute 8 into f(x) as shown below.
Thus, the vertex of f(x) is (8, 60). The vertex of the function shows the maximum value that the function can reach. For this particular case, the vertex represents the maximum profit that the shop owner could earn.
The x-intercepts of the function are the values of x when f(x) is zero. By equation f(x) with zero, we can solve the quadratic equation to find the x-intercepts as shown below.
From this, we can see that the x-intercepts are (6, 0) and (10, 0). We just discussed that the x-intercepts are the values of x when y is zero. So, for this case it means that the shop does not earn a profit if they sell 6 or 10 candles. Basically, the x-intercepts represent the number candles sold if the shop wants to break even.