#### Chapters

Chapter 2: Banking (Recurring Deposit Account)

Chapter 3: Shares and Dividend

Chapter 4: Linear Inequations (In one variable)

Chapter 5: Quadratic Equations

Chapter 6: Solving (simple) Problems (Based on Quadratic Equations)

Chapter 7: Ratio and Proportion (Including Properties and Uses)

Chapter 8: Remainder and Factor Theorems

Chapter 9: Matrices

Chapter 10: Arithmetic Progression

Chapter 11: Geometric Progression

Chapter 12: Reflection

Chapter 13: Section and Mid-Point Formula

Chapter 14: Equation of a Line

Chapter 15: Similarity (With Applications to Maps and Models)

Chapter 16: Loci (Locus and Its Constructions)

Chapter 17: Circles

Chapter 18: Tangents and Intersecting Chords

Chapter 19: Constructions (Circles)

Chapter 20: Cylinder, Cone and Sphere

Chapter 21: Trigonometrical Identities

Chapter 22: Height and Distances

Chapter 23: Graphical Representation

Chapter 24: Measure of Central Tendency(Mean, Median, Quartiles and Mode)

Chapter 25: Probability

#### Selina Selina ICSE Concise Mathematics Class 10 (2018-2019)

## Chapter 10: Arithmetic Progression

#### Chapter 10: Arithmetic Progression Exercise 10A solutions [Page 0]

Which of the following are in arithmetic progression

2, 6, 10, 14

Which of the following are in arithmetic progression

15, 12, 9, 6

Which of the following are in arithmetic progression

5, 9, 12, 18

Which of the following are in arithmetic progression

`1/2, 1/3 , 1/4 , 1/5`

The nth term of the sequence is (2n – 3), find its fifteenth term.

If the pth term of an A.P. is (2p + 3), find the A.P.

Find the 24th term of the sequence: 12, 10, 8, 6,…

Find the 30th term of the sequence

`1/2, 1, 3/2,....`

Find the 100^{th} term of the sequence:

`sqrt3, 2sqrt3, 3sqrt3......`

Find the 50^{th } term of the sequence:

`1/n, (n + 1)/n, (2n + 1)/n, ....`

Is 402 a term of the sequence:

8, 13, 18, 23.....?

Find the common difference and 99^{th } term of the arthimetic progression:

`7 3/4, 9 1/2, 11 1/4, .....`

How many terms are there in the series:

4, 7, 10, 13, ........,148?

How many terms are there in the series:

0.5, 0.53, 0.56, ......, 1.1?

How many terms are there in the series:

`3/4, 1, 1 1/4, ......, 3`

Which term of the A.P 1 + 4 + 7 + 10 + ..... is 52?

If 5th and 6th terms of an A.P are respectively 6 and 5. Find the 11th term of the A.P

If `t_n` represents n^{th }term of an A.P `t_2 + t_5 - t_3 = 10` and `t_2 + t_9 = 17`. Find its first term and its common difference.

Find the 10th term from the end of the A.P 4, 9, 14, ..... 254

Determine the arithmetic progression whose 3rd term is 5 and 7th term is 9.

Find the 31st term of an A.P whose 10th term is 38 and the 10th term is 74

Which term of the service

21, 18, 15 ...... is -81?

Can any term of this series be zero? if yes find the number of terms.

#### Chapter 10: Arithmetic Progression Exercise 10B solutions [Page 0]

In an A.P., ten times of its tenth term is equal to thirty times of its 30th term. Find its 40th term.

How many two-digit numbers are divisible by 3?

Which term of A.P. 5, 15, 25 ………… will be 130 more than its 31st term?

Find the value of p, if x, 2x + p and 3x + 6 are in A.P

If the 3rd and the 9th terms of an arithmetic progression are 4 and -8 respectively, Which term of it is zero?

How many three-digit numbers are divisible by 87?

For what value of n, the nth term of A.P 63, 65, 67, …….. and nth term of A.P. 3, 10, 17,…….. are equal to each other?

Determine the A.P. Whose 3rd term is 16 and the 7th term exceeds the 5th term by 12.

If number n - 2, 4n - 1 and 5n + 2 are in A.P find the value of n and its next two terms.

Determine the value of k for which `k^2 + 4k + 8, 2k^2 + 3k + 6` and `3k^2 + 4k + 4` are in A.P.

If a, b and c are in A.P show that 4a, 4b and 4c are in A.P

If a, b and c are in A.P show that: a + 4, b + 4 and c + 4 are in A.P.

An A.P consists of 57 terms of which 7th term is 13 and the last term is 108. Find the 45th term of this A.P.

4th term of an A.P is equal to 3 times its first term and 7th term exceeds twice the 3rd time by I. Find the first term and the common difference.

The sum of the 2nd term and the 7th term of an A.P is 30. If its 15th term is 1 less than twice of its 8th term, find the A.P

In an A.P, if mth term is n and nth term is m, show that its rth term is (m + n – r)

Which term of A.P 3, 10, 17, .... Will be 84 more than its 13th term?

#### Chapter 10: Arithmetic Progression Exercise 10C solutions [Page 0]

Find the sum of the first 22 terms of the A.P.: 8, 3, -2, ………

How many terms of the A.P: 24, 21, 18, ……… must be taken so that their sum is 78?

Find the sum of 28 terms of an A.P. whose nth term is 8n - 5.

Find the sum of all odd natural numbers less than 50

Find the sum of first 12 natural numbers each of which is a multiple of 7.

Find the sum of first 51 terms of an A.P. whose 2nd and 3rd terms are 14 and 18 respectively.

The sum of the first 7 terms of an A.P is 49 and that of the first 17 terms of it is 289. Find the sum of first n terms

The first term of an A.P is 5, the last term is 45 and the sum of its terms is 1000. Find the number of terms and the common difference of the A.P.

Find the sum of all natural numbers between 250 and 1000 which are divisible by 9.

The first and the last terms of an A.P. are 34 and 700 respectively. If the common difference is 18, how many terms are there and what is their sum?

In an A.P, the first term is 25, nth term is -17 and the sum of n terms is 132. Find n and the common difference.

If the 8th term of an A.P is 37 and the 15th term is 15 more than the 12th term, find the A.P. Also, find the sum of first 20 terms of A.P.

Find the sum of all multiples of 7 between 300 and 700.

The sum of n natural number is `5n^2 + 4n`. Find its 8^{th} term.

The fourth term of an A.P. is 11 and the term exceeds twice the fourth term by 5 the A.P and the sum of first 50 terms

#### Chapter 10: Arithmetic Progression Exercise 10.D solutions [Page 0]

Find three numbers in A.P whose sum is 24 and whoseproduct is 440

The sum of three consecutive terms of an A.P. is 21 and the sum of their squares is 165. find these terms.

The angle of a quadrillateral are A.P. with common difference 20°.find its angles.

Divide 96 into four parts which are in A.P and the ratio between product of their means to product of their extremes is 15:7.

Find five numbers in A.P whose sum is `12 1/2` and the ratio of the first to the last terms 2:3.

Split 207 into three parts such that these partsare in A.P. and the productof the two smaller parts in 4623.

The sum of three numbers in A.P.is 15 the sum of the square of the exterme is 58. find the numbers.

Find four numbers in A.P. whose sum is 20 and the sum of whose squares is 120.

Insert one arithmetic mean between 3 and 13.

The angles of a polygon are in A.P. with common differance 5°. if the smallest angle in 120°, find the number ofsides of the polygoa.

1/a,1/b and 1/c are in A.P show that : bc,ca and ab also in A.P.

Insert four A.M.s between 14 and -1.

Insert five A.M.s between -12 and 8.

Insert six A.M.s between` 15 and -15`

#### Chapter 10: Arithmetic Progression Exercise 10.E solutions [Page 0]

Q.2

#### Chapter 10: Arithmetic Progression Exercise 10.F solutions [Page 0]

Q.4

#### Chapter 10: Arithmetic Progression Exercise 10.G solutions [Page 0]

Q.17

Q.3

Q.5

Q.10

Q.11

Q.12

Q.13

Q.14

Q.15

Q.16

Q.18

Q.19

Q.20

## Chapter 10: Arithmetic Progression

#### Selina Selina ICSE Concise Mathematics Class 10 (2018-2019)

#### Textbook solutions for Class 10

## Selina solutions for Class 10 Mathematics chapter 10 - Arithmetic Progression

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Concepts covered in Class 10 Mathematics chapter 10 Arithmetic Progression are Arithmetic Progression - Finding Their General Term, Arithmetic Progression - Finding Sum of Their First āNā Terms., Simple Applications of Arithmetic Progression.

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