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The first three of four given numbers are in G.P. and their last three are in A.P. with common difference 6. If first and fourth numbers are equal, then the first number is a. `2` b. `4` c. `6` d. `8`

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. Find the two numbers whose A.M. is 25 and GM is 20.

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  2. If A and G are respectively arithmetic and geometric mean between posi...

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  3. The sum of two numbers is 6 times their geometric means, show that nu...

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  4. If A.M. and GM. of roots of a quadratic equation are 8 and 5, respe...

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  5. If AM and GM of two positive numbers a\ a n d\ b are 10 and 8 respecti...

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  6. If the fifth term of a G.P. is 2, then write the product of its 9 t...

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  7. If (p+q)^(t h)a n d\ (p-q)^(t h) terms of a G.P. re m\ a n d\ n respec...

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  8. If (log)x a ,\ a^(x//2) and (log)b x are in G.P., then write the value...

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  9. If the sum of an infinite decreasing G.P. is 3 and the sum of the squa...

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  10. If p^(th), q^(th) and r^(th) terms of G.P. are x,y,z respectively then...

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  11. If A1 and A2 are two A.M.s between a and b and G1 and G2 are two G.M.s...

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  12. If second, third and sixth terms of an A.P. are consecutive terms of a...

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  13. If A and G are respectively arithmetic and geometric mean between posi...

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  14. If n geometric means are inserted between two quantities ; then the pr...

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  15. If a=1+b+b^2+b^3+...... to\ oo , then write b in terms of a given that...

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  16. If in an infinite G.P., first term is equal to 10 times the sum of all...

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  17. If the first term of a G.P. a1, a2, a3, ddot is unity such that 4a2+5...

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  18. If a ,b ,c ,d are in A.P. and x , y , z are in G.P., then show that x^...

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  19. The first three of four given numbers are in G.P. and their last three...

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  20. If S be the sum P the product and R be the sum of the reciprocals of n...

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