CA Foundation · Quantitative Aptitude · Sequence and Series
A company's sales grow by a constant ₹2,00,000 each year, starting from ₹10,00,000 in Year 1. What is the total sales over the first 5 years?
The total sales are ₹70,00,000. Yearly sales form an arithmetic progression of 10, 12, 14, 16 and 18 lakh rupees, which add up to 70 lakh. The option ₹60,00,000 wrongly omits the growth increments.
- A₹60,00,000Correct
- B₹50,00,000
- C₹70,00,000
- D₹58,00,000
Explanation
Sales form an AP with a = 10,00,000 and d = 2,00,000. S5 = 5/2 × [2×10,00,000 + 4×2,00,000] = 2.5 × 28,00,000 = ₹70,00,000. Check: 10+12+14+16+18 = 70 lakh. So the correct total is ₹70,00,000, which is the third option.
Did you get it right without looking?
One question tells you little. A timed set on Sequence and Series shows your real accuracy, how long you take and where you lose marks.
More Sequence and Series questions
- Which of the following is the general term (nth term) of the sequence 2, 5, 10, 17, 26, ...?
- Four arithmetic means are inserted between 7 and 32. What is the third of these means?
- The sequence 2, 6, 12, 20, 30, ... has its nth term equal to n(n+1). Which term of this sequence equals 240?
- What is the value of 1³ + 2³ + 3³ + ... + 15³?
- What is the value of the sum of the first 15 natural numbers cubed, that is 1³ + 2³ + 3³ + ... + 15³?
- What is the value of the sum of the squares of the first 12 natural numbers, i.e. 1² + 2² + 3² + ... + 12²?