GCEMathematicsAlgebra

Sum of 4 consecutive odd numbers starting 3.

A16
B20
C24CORRECT
D28
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Toaster Teacher
Why the answer is C, and why the others tempt you.
**The reasoning** Consecutive odd numbers follow a pattern: each one is 2 more than the previous. Starting from 3: - 1st odd number: 3 - 2nd odd number: 3 + 2 = 5 - 3rd odd number: 5 + 2 = 7 - 4th odd number: 7 + 2 = 9 Now sum them: 3 + 5 + 7 + 9 = **24** **Quick formula**: For consecutive odd numbers starting at *a*, the sum of 4 numbers = 4a + 12. Here: 4(3) + 12 = 24 ✓ **Why the wrong options tempt you** - **16 (A)**: You might have added only three numbers (3 + 5 + 7 = 15) or miscounted. - **20 (B)**: Common if you added consecutive *even* numbers instead (2 + 4 + 6 + 8 = 20) or made an arithmetic slip. - **28 (D)**: You may have started from 4 instead of 3, giving 4 + 6 + 8 + 10 = 28. **Quick takeaway** Consecutive odd numbers jump by 2 each time—list them carefully, then add: 3, 5, 7, 9 always gives 24.
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