In a theater, the first row has 14 seats and each row has 2 more seats than previous row.

General Calculator / Auto Solver

In a theater, the first row has seats and each row has more seats than previous row. If the last row has seats, what is the total number of seats in the theater?

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Calculated Answer

770

Step by Step Solution

In order to solve problem, you must evaluate (n₀ + n₂) / 2 * (n₁ + n₂ - n₀) / n₁.

• (n₀ + n₂) / 2 * (n₁ + n₂ - n₀) / n₁

• Evaluate n₀ + n₂ = 70

  70 / 2 * (n₁ + n₂ - n₀) / n₁

• Evaluate 70 / 2 = 35

  35 * (n₁ + n₂ - n₀) / n₁

• Evaluate n₂ - n₀ = 42

  35 * (n₁ + 42) / n₁

• Evaluate n₁ + 42 = 44

  35 * 44 / n₁

• Evaluate 44 / n₁ = 22

  35 * 22

• Evaluate 35 * 22 = 770

  770
• The answer to the problem and the result of (n₀ + n₂) / 2 * (n₁ + n₂ - n₀) / n₁ is 770