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If a(1), a(2), a(3), ………, a(n)….. are in...

If `a_(1), a_(2), a_(3), ………, a_(n)`….. are in G.P., then the determinant `Delta = ` `|(""loga_(n)" "loga_(n + 1)" "log_(n + 2)""),(""loga_(n + 3)" "loga_(n + 4)" "log_(n + 5)""),(""loga_(n + 6)" "loga_(n + 7)" "log_(n + 8)"")|` is equal to

A

0

B

1

C

2

D

4

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The correct Answer is:
A
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NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
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  2. 1^(3) - 2^(3) + 3^(3) + 4^(3) + .... + 9^(3) =

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  3. Sum of infinite number of terms in GP is 20 and sum of their square is...

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  4. The value of 2^(1/4), 4^(1/8), 8^(1/16) ...... infty is

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  5. Fifth term of a GP is 2, then the product of 1ts 9 terms is

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  6. If the system of linear equations x + 2ay + az = 0,x + 3by + bz = 0,x ...

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  7. Let f(x) be a polynomial function of second degree. If f(1) = f(-1) an...

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  8. The sum of the series 1/1.2 - 1/2.3 + 1/3.4 … upto infty is equal to

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  9. If x(1),x(2),x(3)as well as y(1),y(2),y(3) are in geometric progressio...

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  10. Let T, be the r^(th) term of an A.P. whose first term is a and common ...

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  11. The sum of first n terms of the series 1(2) + 2.2^(2) + 3^(2) + 2.4^(2...

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  12. The sum of series 1/2! + 1/4! + 1/6! + …….. is

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  13. If the coefficients of r^(th),(r + 1)^(th) and (r + 2)^(th) terms in t...

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  14. If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...

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  15. If a(1), a(2), a(3), ………, a(n)….. are in G.P., then the determinant De...

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  16. Leta(1), a(2), a(3), ………be terms of an A.P. if (a(1) + a(2) + ...... a...

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  17. If a(1), a(2) , ……. A(n) are in H.P., then the expression a(1)a(2) + a...

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  18. The sum of the series 1/(2!) - 1/(3!) + 1/(4!) - …….. upto infinity is

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  19. In a geometric progression consisting of positive terms each term equa...

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  20. The first two terms of a geometric progression add up to 12. The su...

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