Read and download free pdf of CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set E. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 5 Arithmetic Progression Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern

## Chapter 5 Arithmetic Progression Mathematics Worksheet for Class 10

Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks

### Class 10 Mathematics Chapter 5 Arithmetic Progression Worksheet Pdf

**ARITHMETIC PROGRESSIONS**

**Q.- If the term of m terms of an A.P. is the same as the sum of its n terms, show that the sum of its (m + n) terms is zero.**

**Sol.**Let a be the first term and d be the common difference of the given A.P. Then,

_{m}= S

_{n}

_{m+n}= m + n/2 {2a + (m + n – 1) d}

_{m+n}= m + n/2× 0 = 0 [Using equation (i)]

**Q.-**

**Four numbers are in A.P. If their sum is 20 and the sum of their square is 120, then find the middle terms.**

**Sol.**Let the numbers are a – 3d, a – d, a + d, a + 3d

^{2}+ (a – d)

^{2}+ (a + d)

^{2}+ (a + 3d)

^{2}= 120

^{2}+ 20 d

^{2}= 120

^{2}+ 20 d

^{2}= 120

^{2}= 1

**Q.-**

**If the n**

^{th}term of an AP is (2n + 1) then find the sum of its first three terms.**Sol.**a

_{n}= 2n + 1

_{1}= 2(1) + 1 = 3

_{2}= 2(2) + 1 = 5

_{3}= 2(3) + 1 = 7

_{1}+ a

_{2}+ a

_{3}= 3 + 5 + 7 = 15

**SECTION A:**

_{9}=144, FIND a.

**SECTION B:**

**SECTION C:**

_{n}

^{th}term.

**SECTION D:**

^{2}

^{st}term and also the ratio of the sum of first five terms to the sum of first 21 terms

^{3}

**Please click on below link to download CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set E**

CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A |

CBSE Class 10 Maths Probabilty Worksheet |

## More Study Material

### CBSE Class 10 Mathematics Chapter 5 Arithmetic Progression Worksheet

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### Worksheet for Mathematics CBSE Class 10 Chapter 5 Arithmetic Progression

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**Chapter 5 Arithmetic Progression worksheet Mathematics CBSE Class 10**

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**Chapter 5 Arithmetic Progression CBSE Class 10 Mathematics Worksheet**

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**Worksheet for CBSE Mathematics Class 10 Chapter 5 Arithmetic Progression**

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