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In a GP. t(n) = (-1)^(n). 2017. find the...

In a GP. `t_(n) = (-1)^(n)`. 2017. find the common ratio.

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Show that the products of the corresponding terms of the sequences a, ar, ar^2 ,…ar^(n – 1) and A, AR, "AR"^2, … "AR"^(n – 1) form a G.P, and find the common ratio.

Find the 12^(th) term of a G.P. whose 8^(th) term is 192 and the common ratio is 2.

Let a_(n) be the n^(th) term of G.P. If Sigma_(n=1)^(100)a_(2n)=alpha and Sigma_(n=1)^(100) a_(2n-1)= beta , then the common ratio of the G.P is

If a_(7) + a_(4) of a G.P. is 343, then the common ratio is

The sum of first three terms of a G.P. is 13/12 and their product is – 1. Find the common ratio and the terms.

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In a GP, the sum of the first three terms is 32, and the sum of the next three terms is 256. Then find the common ratio and first term of G.P.

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VGS PUBLICATION-BRILLIANT-PROGRESSIONS-EXERCISE
  1. Find the sum of first 200 natural numbers.

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  2. Is 'zero' a term of the Arithmetic Progression 31, 28, 25, ….? Justify...

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  3. In a GP. t(n) = (-1)^(n). 2017. find the common ratio.

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  4. The nth term of an A.P. is 6n+2. Find the common difference. (x in N)

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  5. Is the sequence sqrt(3), sqrt(6), sqrt(9), sqrt(12),…… form an Arithme...

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  6. Radha says “1,1,1,… are in A.P and also G.P”.Do you agree with Radha,?...

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  7. In the AP -9 , -14, -19, -24, ……… a(30) - a(20) = ………….

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  8. Find the 11^th term of the A.P. : 15, 12, 9, .....

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  9. In a flower garden there are 23 plants in first row, 21 plants in seco...

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  10. If seven times of 7th term of an Arithmetic Progression is euqal to th...

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  11. Measures of sides of a triangle are in Arithmetic Progression. Its per...

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  12. Explain the terms in the formula. S(n) = n/2 [2a+(n-1)d].

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  13. Find the sum of first 10 terms of an A.P. 3, 15, 27, 39,…..

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  14. Find the value of 'k' , so that k+2, 4k-6 and 3k-2 are the three conse...

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  15. Find the 7^(th) term from the end of the Arithmetic Progression. 7, ...

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  16. Write the formula of n^(th) term of G.P. and explain the terms in it.

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  17. In a rangoli design of 13 rows, every row increases its previous row b...

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  18. Which term of the G.P. : sqrt2, 2, 2sqrt2, 4, ....... is 32 ?

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  19. A manufacture of TV sets produced 500 sets in the third year and 700 s...

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  20. A manufacture of TV sets produced 500 sets in the third year and 700 s...

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