Probabilities are used to determine the chances of events
The value of the probability P(x < 24) is 0.7895
<h3>How to calculate the probability P(x < 24)?</h3>This is calculated as:
So, we have:
Evaluate the sums
Evaluate the quotient
Hence, the value of the probability P(x < 24) is 0.7895
Read more about probabilities at:
Answer:
a) The table of values represents the ordered pairs formed by the elements of the sequence () (range) and their respective indexes (
) (domain):
1 6
2 11
3 16
4 21
5 26
b) The algebraic expression for the general term of the sequence is .
c) The 25th term in the sequence is 126.
Step-by-step explanation:
a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...
The table of values represents the ordered pairs formed by the elements of the sequence () (range) and their respective indexes (
) (domain):
1 6
2 11
3 16
4 21
5 26
b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:
(1)
Where:
- First element of the sequence.
- Arithmetic difference.
- Index.
If we know that and
, then the algebraic expression for the general term of the sequence is:
c) If we know that and
, then the 25th term in the sequence is:
The 25th term in the sequence is 126.