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Let the sequence a(n) be defined as foll...

Let the sequence `a_(n)` be defined as follows: `a_(1)= 1, a_(n)= a_(n-1) + 2 " for " n ge 2`. Find first five terms and write corresponding series.

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The correct Answer is:
1,3,5,7 and 9
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KUMAR PRAKASHAN-SEQUENCE AND SERIES-Testbook Illustrations for Practice Work
  1. Write the first three terms in each of the following sequences defined...

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  2. What is the 20^(th) term of the sequence defined by a(n)= (n-1) (2-n) ...

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  3. Let the sequence a(n) be defined as follows: a(1)= 1, a(n)= a(n-1) + 2...

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  4. In an A.P. if m^("th") term is n and the n^("th") term is m, where m...

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  5. If the sum of n terms of an A.P. is nP+1/2n(n-1)Q , where P and Q are...

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  6. The sum of n terms of two arithmetic progressions are in the ratio (3n...

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  7. The income of a person is Rs 3,00,000 in the first year and he receive...

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  8. Example 8 Insert 6 numbers between 3 and 24 such that the resulting se...

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  9. Find the 10^(th) and n^(th) terms of the G.P . 5, 25,125 ................

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  10. Which term of the G.P., 2,8,32, ... up to n terms is 131072 ?

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  11. In a GP the 3rd term is 24 and 6th term is 192. Find the 10th term.

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  12. Find the sum of first n terms and the sum of first 5 terms of the geom...

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  13. How many terms of the G.P.3,(3)/2,3/4 ..........are needed to give the...

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  14. The sum of first three terms of a G.P. is 13/12 and their product is –...

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  15. Find the sum of the sequence 7, 77, 777, 7777, ... to n terms.

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  16. A person has 2 parents, 4 grandparents, 8 great grandparents, and so o...

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  17. Insert three numbers between 1 and 256 so that the resulting sequence ...

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  18. If A.M. and G.M. of two positive numbers a and b are 10 and 8, respect...

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  19. Find the sum to n terms of the series : 5+11+19+29+41..........

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  20. Find the sum to n terms of the series whose n^("th") term is n (n+3).

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