Respuesta :
Answer:
164 seats
Step-by-step explanation:
you make the equation 4+ 8X to deteremine the seats and x equals the rows and you get your answer.
An arithmetic sequence is a sequence where each consecutive term has a common constant difference. The total number of seats that the theatre has is 156 seats.
What is the sum of terms of an arithmetic sequence?
An arithmetic sequence is a sequence where each consecutive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
Let the starting term be 'a' and the common difference be 'd', then we get the arithmetic sequence as:
a, a+d, a+2d, .....
The sum of those 'n' terms is:
[tex]\rm a + (a+d) + (a+2d) + \cdots + (a+(n-1)d) = \dfrac{n}{2}[2a + (n-1)d ][/tex]
The condition is a case of an arithmetic progression. Therefore, the common difference in the progression is of 8 and the first term of the sequence is 4. Therefore, the sum of the series for the first 20 terms will be,
aₙ = 4 + (20-1)8
= 4 + (19)8
= 4 + 152
= 156
Hence, the total number of seats that the theatre has is 156 seats.
Learn more about Arithmetic Progression:
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