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The sum of the first two terms of an infinite geometric series is 36. Also, each term of the series is equal to the sum of all the terms that follow. Find the sum of the series.

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Important Questions on Progressions

EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 45
An equilateral triangle is drawn by joining the mid-points of the sides of another equilateral triangle. Another equilateral triangle is drawn inside the previous one, joining the mid-points of the sides of the previous equilateral triangle, and the process continues infinitely. Find the sum of the areas of all the equilateral triangles, if the side of the largest equilateral triangle is 8 units.
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CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 46
After striking a floor, a rubber ball rebounds to 56th of the height from which it has fallen. Find the total distance that the ball travels before coming to rest, if it is gently dropped from a height of 210 m.
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CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 47
In an infinite geometric progression, each term is equal to 3 times the sum of the terms that follow. If the first term of the series is 4, find the product of first three terms of the series.
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 48
A student takes a test consisting of 100 questions with differential marking. The student is told that each question after the first one is worth 5 marks more than the preceding question. If the fifth question of the test is worth 25 marks, what is the maximum score that the student can obtain by attempting 90 questions?
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CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 49
At the Narora nuclear power plant, a technician is allowed a maximum shift of 100 minutes. A timer with a bell rings at specific intervals of time, such that the minutes when the timer rings is not divisible by 2, 3, 5, and 7. How many times will the bell ring within these 100 minutes?
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 50
The internal angles of a plane polygon are in AP. The smallest angle is 100°, and the common difference is 10°. Find the number of sides of the polygon.
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 51
If an+1+bn+1an+bn is the arithmetic mean of a and b, then find the value of n.
EASY
CAT
IMPORTANT
How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 52
If an+1+bn+1an+bn is the harmonic mean of a and b, then find the value of n.