How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 15

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If $x$ is the first term, $y$ is the $n$ th term, and $p$ is the product of $n$ terms of a GP, then the value of $p^{2}$ will be _____.

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Important Questions on Progressions

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IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 16

The sum of an infinite GP, whose common ratio is positive and is numerically less than

1

, is

36

. The sum of the first two terms is

32

. What will be the third term?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 17

What is the value of

2^{\frac{1}{3}} \times 2^{\frac{1}{6}} \times 2^{\frac{1}{12}} \times . . . \times

up to infinity?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 18

In an infinite GP, the first term is

A

and the infinite sum

5

. Then,

A

belongs to the interval _____.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 19

Determine the fourth term of a geometric progression, where the sum of the first and the third terms is

50

, and the sum of the second term and the fourth terms is

150

.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 20

What is the

13

th term of the series

\frac{2}{9}, \frac{1}{4}, \frac{2}{7}, \frac{1}{3}, . . .

?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 21

The sum of the third and the fourth terms of an AP is

19

, and that of the first and the seventh terms is

22

. Find the ninth term.

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How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 22

The sum of how many terms of an AP is equal to

200

, if its third term is

16

, and the difference between the sixth and the first term is

30

?

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How to prepare for Quantitative Aptitude for the CAT>Chapter 2 - Progressions>Level of Difficulty>Q 23

Four numbers are inserted between

4

and

34

such that an AP is formed. Find the smallest of these four numbers.