Question

The first row of a conference hall has 11 chairs and 2 additional chairs in each subsequent row. How many chairs are in the 8th row? How many chairs in total are in the first 8 rows?

Answer 1

The total number of chairs in the eight rows of the conference hall is; 144 chairs.

What is the total number of chairs in the eight rows?

From the task content;

It follows that the first row contained 11 chairs and each successive row has 2 more chairs. It therefore follows from the sum of terms for an arithmetic progression that the eight rows contain;

Total number of chairs = (8/2) × (2(11) + 7(2))

S = 4 × 36 = 144.

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