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In a geometric progression with first te...

In a geometric progression with first term a and common ratio r, what is the arithmetic mean of first five terms ?

A

`a+2r `

B

`ar^2`

C

`a (r^5-1)(r-1)`

D

`a (r^5-1)//[5(r-1)]`.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If the sum of the first two terms and the sum of the first four terms ...

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  2. If n> 1 and log2 x,log3 x, logx 16, are in G.P., then what is x equal ...

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  3. In a geometric progression with first term a and common ratio r, what ...

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  4. The harmonic mean of two numbers is 21.6. If one of the numbers is 27,...

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  5. Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbet...

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  6. Consider an infinite geometric series with first term a and common rat...

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  7. Sum of the n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^...

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  8. Let alpha and beta be the roots of x^2-x+p=0 and gamma and delta be th...

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  9. Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd...

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  10. If the sum to 2n terms of the A.P. 2, 5, 8, 11, .... is equal to the s...

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  11. Suppose a,b,c are in AP and a^(2),b^(2),c^(2) are in GP, If agtbgtc an...

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  12. 5th term of a G.P. is 2, then the product of first 9 terms is:

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  13. Find the sum of n terms of the series 1. 2^2+2. 3^2+3. 4^2+

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  14. If the A.M of two numbers is 9 and G.M is 4, then these numbers are ro...

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  15. Let Tr be the rth term of an A.P. whose first term is a and common dif...

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  16. An infinite G.P. has first term ‘x’ and sum ‘5’, then x belongs to ,

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  17. If x= sum(n=0)^(oo) a^n, y=sum(n=0)^(oo) b^n, z= sum(n=0)^(oo) c^n, wh...

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  18. In the quadratic equation ax^2 + bx + c = 0. if delta = b^2-4ac and al...

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  19. The value of underset(n=1)overset(10)sum (sin . (2 n pi)/(11)- cos. (2...

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  20. Let a(1),a(2),a(3),"........." be terms are in AP, if (a(1)+a(2)+".......

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