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Sum means add
the number is x
13 divided by a number is 13/x
the number divided by the number is x/13
so
also can be simplified to
or
translated it is where x is the number
the number is x
13 divided by a number is 13/x
the number divided by the number is x/13
so
also can be simplified to
translated it is
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.