CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set E

  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, Sm = Sn m/2[2a…

CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set D

Question. The sum first n odd natural number is (a) 2n-1 (b) n2 (c) 2n+1 (d) n2-1 Answer : B Question. The next term of an AP √7 , √28 , √63 , ……….. (a) √84 (b) √70 (c) √97 (d) √112 Answer : A Question. For the A.P. 3/2 , 1/2 , -1/2 , -3/2 write common difference (a) 1 (b)…

CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set C

Answer the following: Question. Find the sum of first 10 terms of the AP: 2, 7, 12, ...  Answer : 245 Question. If the sum of first m terms of an AP is 2 m2 + 3 m, then what is its second term?  Answer : 9 Question. Find the sum of first…

CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set B

VERY SHORT ANSWER TYPE QUESTIONS : Question. Which term of A.P. 5, 2, − 1, − 4 ..... is − 40? Answer : Here, a = 5 d = 2 − 5 = − 3 Let nth term be − 40 ∴ Tn = a + (n − 1) d ⇒ − 40 = 5 + (n − 1) × (− 3) ⇒ n − 1 = − 40 − 5/− 3 = − 45/− 3 =15 ⇒ n = 15…

CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set A

Multiple Choice Questions  Question. The sum of first five terms of the AP: 3, 7, 11, 15, ... is: (a) 44 (b) 55 (c) 22 (d) 11 Answer : B Question. If the first term of an AP is 1 and the common difference is 2, then the sum of first 26 terms is (a) 484 (b) 576 (c) 676 (…

CBSE Class 10 Arithmetic Progression Printable Worksheet Set A

      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)=…

CBSE Class 10 Mental Maths Arithmetic Progressions Worksheet

Very Short Answer Type Questions Question. For the AP : 0.6, 1.7, 2.8, 3.9, . . ., write the first term a and the common difference d. Answer : a = 0.6, d = 1.1 Question. Ramkali saved Rs 5 in the first week of a year and then increased her weekly…