A.P. Introduction , Ch 5, Arithmetic Progression, Students Help Corner, समांतर श्रेणी

Опубликовано: 23 Май 2026
на канале: KP Academy
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In this video, I have covered lots on most important questions for class 10th Arithmetic Progression . Also, we will learn concept first.
Watch this video till end and we assure you will become an expert in this chapter.
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what is A.P.
AP kya hai
arithmetic Progression kya hoti hai
class 10th chapter 5
cbse ncert class tenth chapter fifth
introduction to AP
#AP # arithmeticProgression
Chapter 1 Real Numbers
Chapter 2 Polynomials
Chapter 3 Pair of Linear Equations in Two Variables
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progressions
Chapter 6 Triangles
Chapter 7 Coordinate Geometry
Chapter 8 Introduction to Trigonometry
Chapter 9 Some Applications of Trigonometry
Chapter 10 Circles
Chapter 11 Constructions
Chapter 12 Areas Related to Circles
Chapter 13 Surface Areas and Volumes
Chapter 14 Statistics
Chapter 15 Probability
1. In which of the following situations, does the list of numbers involved make an arithmetic
progression, and why?
(i) The taxi fare after each km when the fare is ` 15 for the first km and ` 8 for each
additional km.
(ii) The amount of air present in a cylinder when a vacuum pump removes
1
4
of the
air remaining in the cylinder at a time.
(iii) The cost of digging a well after every metre of digging, when it costs ` 150 for the
first metre and rises by ` 50 for each subsequent metre.
(iv) The amount of money in the account every year, when ` 10000 is deposited at
compound interest at 8 % per annum.
2. Write first four terms of the AP, when the first term a and the common difference d are
given as follows:
(i) a = 10, d = 10 (ii) a = –2, d = 0
(iii) a = 4, d = – 3 (iv) a = – 1, d =
1
2
(v) a = – 1.25, d = – 0.25
3. For the following APs, write the first term and the common difference:
(i) 3, 1, – 1, – 3, . . . (ii) – 5, – 1, 3, 7, . . .
(iii)
1 , 5 9 13 , , ,
3 3 3 3
. . . (iv) 0.6, 1.7, 2.8, 3.9, . . .
4. Which of the following are APs ? If they form an AP, find the common difference d and
write three more terms.
(i) 2, 4, 8, 16, . . . (ii)
2, 5 , 3, 7 ,
2 2
. . .
(iii) – 1.2, – 3.2, – 5.2, – 7.2, . . . (iv) – 10, – 6, – 2, 2, . . .
(v) 3, 3 2 , 3 2 2 , 3 3 2 , . . . (vi) 0.2, 0.22, 0.222, 0.2222, . . .
(vii) 0, – 4, – 8, –12, . . . (viii) –
1
2
, –
1
2
, –
1
2
, –
1
2
, . . .