Exercise - 8
Find the common difference of the A.P. and write the next two terms:
1. 1/2, 5/2, 9/2, 13/2, --------- 3. 3.5, 4, 4.5, 5, ------------- 5. Find 15th term of -10, -5, 0, 5, ------ 7. a, b, c are in A.P. show that 2b = a + c |
2. 6, 10, 14, 18,--------- 4. 0, 1/3, 2/3, 1, ------- 6. Find 11th term of 1/2, 3/4, 1, 5/4, ------
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Find the nth term of the following: 8. 2, 5, 8, 11, ------------ 10. 1, 2.5, 4, 5.5, ----------- Find tnof the following term 11. t1 = 1, t6 = 11 13. t1 = 3, t3 = 13 |
9. 3.5, 6.5, 9.5, 12.5, ------------
12. t1 = 5, t8 = 26
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| 14. Find sun to n terms of the sequence whose nth terms are | |
(i) 2n + 1 (iii) n + 1 (v) na - b 15. Find sum of following: (i) 2 + 4 + 6 + ---------- + 100 (iii) 4 + 8 + 12 + ---------- + 200 |
(ii) 3n - 2 (iv) a + nb
(ii) 3 + 10 + 17 + ---------- + 143
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| Answers | ||
(1) 2, 17/2, 21/2 (4) 1/3, 4/3, 5/3 (8) 3n - 1 (11) 2n - 1 (14) (i) n(n + 2) (iv) (15) (i) 2550 |
(2) 4, 22, 26 (5) 60 (9) 0.5 + 3n (12) 3n + 2 (ii) n(3n - 1)/2 (v) n/2 [(n + 1) a - 2b ] (ii)1533 |
(3) 0.5, 5.5, 6 (6) 3 (10) 3/2n - 1/2 (13) 5n - 2 (iii) n(n + 3)/2
(ii) 5100 |
| Subjects | Maths (Part-1) by Mr. M. P. Keshari |
| Chapter 1 | Linear Equations in Two Variables |
| Chapter 2 | HCF and LCM |
| Chapter 3 | Rational Expression |
| Chapter 4 | Quadratic Equations |
| Chapter 5 | Arithmetic Progressions |
| Chapter 6 | Instalments |
| Chapter 7 | Income Tax |
| Chapter 8 | Similar Triangles |
