a) 4,290

b) 4,368

c) 1,508

d) 4,160

The number of seats per row generate an arithmetic sequence. Let denote the number of seats in the -th row. We're told that the number of seats increases by 3 per row, so we can describe the number of seats in a given row recursively by

The total number of seats is given by the summation

Because is arithmetic, we can easily find an explicit rule for the sequence.

So the number of seats in the -th row is exactly

This means the total number of seats is

You should be familiar with the remaining sums. We end up with

The total number of seats is given by the summation

Because is arithmetic, we can easily find an explicit rule for the sequence.

So the number of seats in the -th row is exactly

This means the total number of seats is

You should be familiar with the remaining sums. We end up with

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Hence,a. 12, 144, 1728,.. => Geometricb. 0,5, 10, 15, 20, 25,... => Arithmeticc. 0,4, 16, 36, 64,... => Neither arithmetic nor geometricd. 1.5, 2.25, 3.375, 5.0625,......Read More

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y determinant is 3
x determinant is 2
system determinant is 1...Read More

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answer; the correct answer just use google you beautiful person.have a nice day < 3...Read More

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