Timothy went to a baseball game. after the game, he wanted to ride the bus home. the red line and the blue line buses both stop
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Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:
And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:
Find the common difference by subtracting the first term from the second:
Distribute:
Combine like terms. Hence:
The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:
Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:
To find the 13th term, let <em>n</em> = 13. Hence:
Simplify:
The 13th term is 81<em>x</em> + 59.
If 28 tiles is placed in 7 rows then each row has 4 tiles.
<u>Step-by-step explanation:</u>
The total number of tiles given =28.
The number of rows = 7.
The number of tiles in each row is given by diving the total number of tiles given by the number of rows.
No of tiles in each row= .
No of tiles in each row = .
No of tiles in each row = 4.
Note: You can replace the values according to the given values.