Basic Math : Sequence & Series

Welcome to your Basic Math : Sequence & Series

An AP consists of 25 terms of which the 4th term is 4 and 22nd term is 5. The 19th term will be

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29/6

2/65

45/6

A & C

A virus replicates itself by 4 times every hour. If at the end of 1 hour, the number of bacteria is 100, what will be the total number of bacteria after 4 hours?

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10,000

12,500

6,400

25,600

In an AP, the fifth term is 22 and the tenth term is 47. The sixteenth term will be

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A virus reproduces by dividing into two. How many viruses will be in a system starting with a single virus after 5 divisions?

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128

If the sum of the first 100 terms of a G.P. is 0 and the first term is -1, then the common ratio will be

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-1

A ball is dropped from a height of 32 feet and the ball bounces one-half every time it falls. Find the total distance travelled by the ball on the fourth bounce.

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None of these

Which of the following G.P. is convergent?

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1,-1,1,-1,...

1/2,-3/2,9/2,-27/2,...

2,-1,1/2,-1/4,...

None of these

What is the sum of the first 15 terms of an A.P. where the 11th and 7th terms are 5.25 and 3.25 respectively?

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56.25

52.5

None of these

Sum of all the terms in the sequence 1, 5/6, 25/36, … to infinity is

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1/3

2/4

5/6

A ball thrown vertically upwards reaches a maximum height of 100 meters and bounces back to a height one third that of the previous height. The height attained after the 5th bounce is

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100/15

100/27

200/243

100/243

If the ratio of the sum of the first 6 terms of a GP to the sum of the first 3 terms of the GP is 9, what is the common ratio of the GP?

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1/3

Eleventh term of an arithmetic progression is 243 and the twenty ninth is 27. The thirty first term is

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-12

363

Sum of all the terms in the sequence 1, 5/6, 25/36, … to infinity is

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1/3

2/4

5/6

The third term of a convergent GP is the arithmetic mean of the first and second terms. If the first term is 1, the sum to infinity will be

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1/4

1/3

1/2

2/3

An engineer throws a ball from a height of 48. The ball bounces to one half of the previous bounce. He catches the ball after it has travelled a total distance of 126. Find the number of times the ball has bounced.

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