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Exercise

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, ------

 

 

 

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

 

 

 

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

 

 

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

 


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