Read and download free pdf of CBSE Class 10 Arithmetic Progression Printable Worksheet Set A. 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
VERY SHORT ANSWER QUESTIONS(1 MARK)
Question. If the sum of first m terms of an AP is am2 + bm, find the common difference.
Answer : Sm= am2 + bm, S1= a+b= a1, S2 = 4a+2b= a1+ a2
a2 = S2- S1= 4a+2b- (a+b) = 3a +b , d= a2-a1= 3a+b-(a+b)= 2a
Question. Three numbers are in AP and their sum is 24. Find the middle term.
Answer : Let the three numbers of the AP be a-d, a, a+d. So a-d +a+a+d= 24 ⟹ 3a=24,a=24/3=8. Hence the middle term =8.
Question. Find the sum of first 8 multiples of 3.
Answer : First 8 multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24 These numbers are in A.P.
where a = 3, d = 3 and n = 8 , an=24, Sn= 𝑛/2(a 1+ an), S8= 8/2(3+ 24)= 4x27=108
Question. Find the sum: 34+ 32+30+……+10
Answer : Given, 34 + 32 + 30 + … + 10, first term, a = 34, d = a2−a1 = 32−34 = −2, Let 10 be the nth term of this A.P., an= a +(n−1)d, 10 = 34+(n−1)(−2), −24 = (n −1)(−2), 12 = n −1, n = 13, Sn = n/2 (a +l) , l = 10, Sn = n/2 (34 + 10) = 13/2 x44= 286
Question. Find the number of terms of an AP 5, 9,13, …, 185.
Answer : a1=5, d=9-5=4, an=185, 185 = 5 + (n - 1)4, 185 = 5 + 4n -4,185 = 1 + 4n, 185 - 1 = 4n, 184 = 4n, n= 184/4 = 46
Question. Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5
Answer : Since, the number is divisible by both 2 and 5, means it must be divisible by 10.AP = 110, 120, 130,..., 990, a = 110, d = 10, nth term of the AP = 990
a+(n-1)d=990, 110+(n-1)10=990, (n-1)10=990-110,(n-1)= 880/10, n-1=88, n=88+1, n=89
Question. The fourth term of an AP is 11 and the eleventh term is 25. Determine the first term and common difference.
Answer : a + 3d = 11….(1) a + 10d = 25…..(2)
Subtracting equation (1) from equation (2 )
a + 10d – (a + 3d) = 25 – 11, 7d = 14, d = 2,
Putting value of d=2 in the equation 2,
a + 10x2 = 25, a + 20 = 25, a = 25 – 20, a = 5
Question. In an AP a = 15, d = -3, an = 0, then find the value of n.
Answer : First term (a) =15,Common difference (d) = -3,
Last term(an) = 0, 0 = 15 + (n - 1)-3 -15 = -3n + 3, -15 - 3 = -3n, -18 = -3n, n=6
| CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A |
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CBSE Class 10 Mathematics Chapter 5 Arithmetic Progression Worksheet
The above practice worksheet for Chapter 5 Arithmetic Progression has been designed as per the current syllabus for Class 10 Mathematics released by CBSE. Students studying in Class 10 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 10 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 10 Mathematics students to get all the latest study material free of cost.
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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