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## Answers

formula: d=a₂-a₁ --------> you can use any consecutive nth number like a₃-a₂. You will get the same result.

**d=a₂-a₁**

**d=12-5**

**d=7**

**check: 5+7=12, 12+7=19, 19+7=26 and 26+7=33.**Our common difference is correct.

**To find the other term, use the nth number formula:**

**₁**

a<sub>n = a

a<sub>n = a

**+(n-1)(d)**

**Find a₉:**

**a₉=5+(9-1)(7)**

a₉=5+(8)(7)

a₉=5+(8)(7)

**a₉=5+56**

**a₉=61**

**Our 9th term or a₉ is**

**61**.

**find a₂₉:**

**a₂₉=5+(29-1)(7)**

**a₂₉=5+(28)(7)**

**a₂₉=5+196**

**a₂₉=201**

Our 29th term or a₂₉ is

**201**.

**find a₄₂:**

**a₄₂=5+(42-1)(7)**

**a₄₂=5+(41)(7)**

**a₄₂=5+287**

**a₄₂=292**

**Our 42nd term or a₄₂ is**

**292.**

Answers: a₉=61, a₂₉=201, a₄₂=292

Answers: a₉=61, a₂₉=201, a₄₂=292