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 19th term from the end of the series 2 + 6 + 10 + …. + 86 is: a. 6 b. 18 c. 14 d. 10 Answer : C Question. In a certain A.P., 5 times the 5th term is equal to 8 times the 8th term, then its 13th term is: a. 0 b. – 1 c. – 12 d. – 13 Answer : A Question…

CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set C

Question. Which of the following form of an AP? (a) − 1, − 1, − 1, − 1, ... (b) 0, 2, 0, 2, … (c) 1, 1, 2, 2, 3, 3 (d) 1/2, 1/3, 1/4 Answer : A Question. The common difference of an AP, whose nth term is an =(3n + 7), is (a) 3 (b) 7 (c) 10 (d) 6…

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…