Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among
1 answer:
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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.
<h2>The required "option B) 
" is correct.</h2>
Step-by-step explanation:
You can refer figure:
To find, the value of x = ?
We know that,
Consecutive angles are supplementary
The diagonals bisect the angles.
Divided by 2 both sides, we get
⇒
⇒
⇒
⇒ 4x =
⇒
⇒
∴ The value of x =
Thus, the required "option B) " is correct.