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Sum to n terms of the series 1+(1+x)+(1+...

Sum to n terms of the series `1+(1+x)+(1+x+x^2)+(1+x+x^2+x^3)+...`

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CBSE COMPLEMENTARY MATERIAL-SEQUENCES AND SERIES -SECTION-C(SHORT anwer type )
  1. Find the least value of n for which 1+3+3^(2)+…3^(n-1)>1000

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  2. Sum to n terms of the series 1+(1+x)+(1+x+x^2)+(1+x+x^2+x^3)+...

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  3. Write the first negative term of the sequence 20,19(1)/(4),18(1)/(2),1...

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  4. Determine the number of terms in the terms in the A.P. 3,7,11407. A...

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  5. How many numbers are there between 200 and 500, whichleave remainder 7...

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  6. Find the sum of all the natural numbers between 1 and 200 which are ne...

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  7. Find the sum of the sequence, 72 + 70 + 68 + ………. + 40

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  8. If in an A.P (a(7))/(a(10))=(5)/(7),find (a(4))/(a(7))

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  9. The sum of first four terms of an A.P. is 56 and the sum of it's last ...

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  10. solve: 1 + 6 + 11 + 16 +.........+ x = 148

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  11. The ratio of the sum of n terms of two A.P.'s is (7n-1): (3n +11), fin...

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  12. If the first, second and the last terms of an A.P. are a,b,c respectiv...

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  13. If (b+c-2a)/(a), (c+a-2b)/(b),(a+b-2c)/(a) are in A.P then show that (...

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  14. The product of first three terms of a G.P. is 1000. If 6 added to its ...

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  15. If the continued product of three numbers in G.P. is 216 and the sum o...

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  16. Find the sum to infinity of the series: 1+3/2+5/2^2+7/2^3+..........oo

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  17. if A=1+r^a+r^(2a)+......... up to infinity then express r in terms of ...

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  18. Find the sum of first n terms of the series 0.7 + 0.77 + 0.777 + …..

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  19. "If "x=a+(a)/(r)+(a)/(r^(2))+...oo,y=b-(b)/(r)+(b)/(r^(2))-...oo,"and ...

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  20. The sum of first three terms of a G.P. is 15 and sum of next three ter...

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