MEDIUM

10th ICSE

IMPORTANT

Earn 100

Komal decides to solve two questions of Mathematics first day and doubles the number every day. In how many days will she be able to solve the total questions $2046$ in the book ?

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Important Questions on Arithmetic and Geometric Progression

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>CHAPTER EXERCISE>Q 43

Rohit borrows

₹ 10000

from his friend, Mohit. Mohit asks him to return the money just by repaying

₹ 10

at first day and double the amount in the subsequent days than the each previous day continuously for only ten days. Rohit thanks Mohit for his help. Now, determine whether Mohit was in loss or profit.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>CHAPTER EXERCISE>Q 44

150

workers were engaged to finish a job in a certain number of days,

4

workers dropped out on second day,

4

more workers dropped out on third day and so on. It took

8

more days to finish the work. Find the number of days in which the work was completed.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>CHAPTER EXERCISE>Q 45

A person writes a letter to four of his friends. He asks each one of them to copy the letter and mail to four different persons with the instruction that they move the chain similarly. Assuming that the chain is not broken and that it costs

25

paise to mail one letter, determine the amount spent on postage when the

8

th set of letters is mailed.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>CHALLENGERS>Q 1

Five distinct positive integers are in arithmetic progression with a positive common difference. If their sum is

10020

, then the smallest possible value of the last term is

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>CHALLENGERS>Q 2

The sum of the series

1 + (1 + 2) + (1 + 2 + 3) + (1 + 2 + 3 + 4) + . . . . + (1 + 2 + 3 + . . . + 20)

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>CHALLENGERS>Q 3

A P

starts with a positive fraction and every alternate term is an integer. If the sum of the first

11

terms is

33

, then the fourth term is:

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>CHALLENGERS>Q 4

The sum of the series

$45^{2} - 43^{2} + 44^{2} - 42^{2} + 43^{2} - 41^{2} + 42^{2} - 40^{2} + . . .$ up to $30$ terms is

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 9 - Arithmetic and Geometric Progression>CHALLENGERS>Q 5

Take a point

A (3, 4)

on the graph and draw two lines from it, one is parallel to

x

- axis and another parallel to

y

-axis. Again, take four points on both lines on both side of

A

, such that their

x

-coordinates and

y

-coordinates form an AP with common difference

2

. Then, the area of the circle, passing through these four points, is

Komal decides to solve two questions of Mathematics first day and doubles the number every day. In how many days will she be able to solve the total questions 2046 in the book ?

Important Questions on Arithmetic and Geometric Progression

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Komal decides to solve two questions of Mathematics first day and doubles the number every day. In how many days will she be able to solve the total questions $2046$ in the book ?