CMA Foundation · Fundamentals of Business Mathematics and Statistics · Arithmetic Progression and Geometric Progression
The sum of the first 4 terms of an AP is 40 and its 4th term is 16. What is the 10th term?
The 10th term is 40. The sum formula gives first term 4, the 4th term 16 gives a common difference of 4, and the 10th term is 4 plus 9 times 4, which equals 40.
- A34
- B40Correct
- C36
- D38
Explanation
Sum of 4 terms = 4/2×(a+16)=40, so a+16=20 and a=4. Then 3d=12, d=4. The 10th term is 4+9×4=40. Option 34 comes from using d=3.33 errors; 36 results from using 8 intervals instead of 9.
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