Home › CAT › Quantitative Aptitude › CAT QA — Mixed › Sum to infinity of the GP 1 + 1/2 + 1/4 + 1/8 + …
Sum to infinity of the GP 1 + 1/2 + 1/4 + 1/8 + ... =
A∞
B2 (= 1/(1 - 1/2))
C1
D3/2
Answer & Solution
Correct answer: B. 2 (= 1/(1 - 1/2))
For infinite GP with |r| < 1: S = a/(1-r) = 1/(1 - 0.5) = 2. Converges since |r| = 0.5 < 1.
Related questions
A CAT QA question reads: 'Anjali's salary increased by 20% in 2024. In 2025, the new salarA CAT taker has 4 TITA questions blank with 20 seconds left. The best move is:In the LAST 5 MINUTES of a CAT QA section, the recommended strategy is:A CAT QA word problem says 'the price was reduced from ₹100 to ₹85'. The percent change isA CAT TITA (Type-In-The-Answer) question has NO negative marking. The correct strategy is:CAT MCQ scoring is +3 for correct, −1 for wrong. The expected value of a pure random guessA CAT QA question asks: 'What is x if 5x − 7 = 38?' Options: x = 5, 7, 9, 11. The fastest In a CAT QA section, the recommended first action is to: