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Write the first five terms of the sequen...

Write the first five terms of the sequences given below and obtain the corresponding series: `a_1=3`, `a_n= 3a_(n-1)+2` `forall n > 1`

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PSEB-SEQUENCES AND SERIES-EXERCISE
  1. Find the indicated terms of the sequences given below whose nth terms ...

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  2. Find the indicated terms of the sequences given below whose nth terms ...

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  3. Write the first five terms of the sequences given below and obtain the...

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  4. Write the first five terms of the sequences given below and obtain the...

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  5. Write the first five terms of the sequences given below and obtain the...

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  6. The Fibonacci sequence is defined by 1 = a1= a2 and an=a(n-1)+a(n-2), ...

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  7. Find the sum of odd integers from 1 to 2001. (A) 100200 (B) 1002001 (C...

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  8. Find the sum of all natural numbers lying between 100 and 1000, which ...

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  9. In an A.P., the first term is 2 and the sum of the first five terms is...

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  10. How many terms of the A.P. -6, -11/2, -5 , ... are needed to give the ...

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  11. In an A.P., if p^(th) term is 1/q and q^(th) term is 1/p, prove that t...

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  12. If the sum of a certain number of terms of the A.P. 25, 22, 19, .. . i...

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  13. Find the sum to n terms of the A.P., whose k^(th) term is 5k+ 1.

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  14. If the sum of n terms of an A.P. is (pn + qn^2), where p and q are con...

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  15. The sums of n terms of two arithmetic progressions are in the ratio 5n...

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  16. If the sum of first p terms of an A.P. is equal to the sum of the firs...

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  17. Sum of the first p, q and r terms of an A.P. are a, b and c, respectiv...

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  18. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

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  19. If the sum of n terms of an A.P. is 3n^2 + 5n and its m^(th) term is 1...

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  20. Insert five numbers between 8 and 26 such that the resulting sequence ...

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