5.2 The General Term (nth Term)

Key Formulas

Solved Examples

Step 1

Identify the parameters: First term $a = 2$ .

Step 2

Common difference $d = 7 - 2 = 5$ [cite: 919].

Step 3

We need the 10th term, so $n = 10$ .

Step 4

Apply formula: $a_{10} = a + (10-1)d = 2 + 9(5)$ .

Step 5

Calculation: $2 + 45 = 47$ [cite: 923].

Final Answer

47

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