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Three numbers a, b and c will be in A.P....

Three numbers a, b and c will be in A.P. if and only if ____.

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For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c) Then: (1) b, c and a are in G.P. (2) b, c and a are in A.P. (3) a, b and c are in A.P (4) a, b and c are in G.P

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NCERT TAMIL-NUMBERS AND SEQUENCES -Progress Check
  1. The common difference of a constant A.P. is ……

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  2. If every term of an A.P. is multiplied by 3, then the common differenc...

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  3. Three numbers a, b and c will be in A.P. if and only if .

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  4. The sum of terms of a sequence is called ……

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  5. A series have finite number of terms then it is called ……

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  6. If the first and last terms of an A.P. are given, then the formula to ...

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

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

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  9. A G.P. is obtained by multiplying ……… to the preceding term.

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  10. The ratio between any two consecutive terms of the G.P. is …… and it i...

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  11. Fill in the blanks, if the term are in G.P. (1)/(8), (3)/(4), (9)/(2),...

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  12. Fill in the blanks if the following are in G.P. 7, 7/2,……

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  13. If first term = a, common ratio = r, then find the value of t(9)" and ...

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  14. If G.P if t(1)=(1)/(5) and t(2)=(1)/(25) then the common ratio is .

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  15. Three Non-zero numbers a, b and c will be in G.P. If and only if .

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  16. A series whose terms are in Geometric progression is called …….

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  17. When r = 1, the formula for finding sum to n terms of a G.P. is …….

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  18. When r ne 1, the formula for finding sum to n terms of a G.P. is ……..

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  19. Sum to infinite number of terms of a G.P. is ….

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  20. For what values of r, does the formula for infinite G.P. valid ?

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