CMA Foundation · Fundamentals of Business Mathematics and Statistics · Arithmetic Progression and Geometric Progression
The 2nd, 4th and 6th terms of a GP with positive terms are x, 36 and y respectively, and x = 4. What is the value of y?
The value of y is 324. From the second term 4 to the fourth term 36, the multiplier is r squared, which equals 9, so r = 3. The sixth term is the fourth term times another r squared, so y = 36 times 9 = 324.
- A324Correct
- B144
- C108
- D9
Explanation
The 4th term is the 2nd term times r^2, so 36 = 4r^2, giving r^2 = 9 and r = 3 (positive terms). The 6th term is 36 x r^2 = 36 x 9 = 324. Option 108 wrongly multiplies by 3 only once.
Did you get it right without looking?
One question tells you little. A timed set on Arithmetic Progression and Geometric Progression shows your real accuracy, how long you take and where you lose marks.
More Arithmetic Progression and Geometric Progression questions
- The first term of an AP is 7 and its common difference is 4. What is the sum of the first 20 terms?
- Three numbers are in GP with a first term of 4 and a last term of 36. What is the geometric mean inserted between them, taken as positive?
- A recurring-style plan has Mehta & Sons depositing Rs 1,000 at the end of the first year, with each later year's deposit being 1.5 times the…
- A firm's sales grew by 20% in the first year and by 80% in the second year. What is the equivalent constant yearly growth rate over the two …
- In an arithmetic progression the 4th term is 17 and the 9th term is 42. What is the 15th term?
- A ball is dropped from a height of 16 m and after each bounce rises to half of the previous height. Taking the initial drop plus all subsequ…