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Earn 100

Find the sum of the first $15$ multiples of $8$ .

Important Questions on Arithmetic Progressions

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MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 14

Find the sum of the odd numbers between

0

and

50

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MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 15

A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows:

₹ 200

for the first day,

₹ 250

for the second day,

₹ 300

for the third day, etc., the penalty for each succeeding day being

₹ 50

more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by

30

days?

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MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 16

A sum of

₹ 700

is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is

₹ 20

less than its preceding prize, find the value of each of the prizes.

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MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 17

In a school, students thought of planting trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be the same as the class, in which they are studying, e.g., a section of Class

I

will plant

1

tree, a section of Class

I I

will plant

2

trees and so on till Class

X I I

. There are three sections of each class. How many trees will be planted by the students ?

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MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 18

A spiral is made up of successive semicircles, with centres alternately at $A$ and $B$ , starting with centre at $A$ , of radii $0.5 c m, 1.0 c m, 1.5 c m, 2.0 c m, . . .$ as shown in figure. What is the total length of such a spiral made up of thirteen consecutive semicircles? (Take $π = \frac{22}{7}$ )

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MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 19

$200$ logs are stacked in the following manner: $20$ logs in the bottom row, $19$ in the next row, $18$ in the row next to it and so on (see Figure). In how many rows are the $200$ logs placed and how many logs are in the top row?

Question Image

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MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.3>Q 20

In a potato race, a bucket is placed at the starting point, which is

5 m

from the first potato, and the other potatoes are placed

3 m

apart in a straight line. There are ten potatoes in the line (see Figure).
Question Image

A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run?

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MATHEMATICS Textbook for Class X>Chapter 5 - Arithmetic Progressions>Exercise 5.4>Q 1

Which term of the

A P

121, 117, 113, . . .,

is its first negative term?

Find the sum of the first 15 multiples of 8.

Important Questions on Arithmetic Progressions

Learn and Prepare for any exam you want !

Find the sum of the first $15$ multiples of $8$ .