Mathematics, 30.11.2019 22:31 jaaay10
Acertain theatre is shaped so that the first row has 23 seats and, moving towards the back, each successive row has 2 seats more than the previous row. if the last row contains 81 seats and the total number of seats in the theatre is 1560, how many rows are there?
Answers: 3
rows in the theater.
will form an Arithmetic progression.
,same for three consecutive terms so this an AP.
terms in AP
![S_n={\frac{n}{2}[2a+(n-1)d]}](/tpl/images/0397/6864/04b58.png)
![S_n=\frac{n}{2}[a+l]](/tpl/images/0397/6864/07c77.png)
![1560=\frac{n}{2}[23+81]](/tpl/images/0397/6864/a3260.png)
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Acertain theatre is shaped so that the first row has 23 seats and, moving towards the back, each suc...
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