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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 `2` b. `4` c. `6` d. `8`

A

A.P.

B

G.P.

C

H.P.

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Chapter Test
  1. If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a...

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  2. If three numbers are in H.P., then the numbers obtained by subtracting...

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

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  4. In a G.P. of positive terms if any terms is equal to the sum of next ...

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  5. If a,b,c are in H.P and ab+bc+ca=15 then ca=

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  6. If sum(r=1)^(oo)(1)/((2r-1)^(2))=(pi^(2))/(8), then sum(r=1)^(oo) (1)/...

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  7. It is given that 1/1^4 + 1/2^4 +1/3^4 … to oo= pi^4/90 , then 1/1^4...

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  8. The minimum number of terms from the beginning of the series 20+22(2)/...

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  9. The sum of the series 1-3+5-7+9-11+ . . . . To n terms is

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  10. If three positive unequal numbers a, b, c are in H.P., then

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

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  12. 1^3-2^3+3^3-4^3+........+9^3 is equal to

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  13. The sum of infinite number of terms in G.P. is 20 and the sum of their...

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  14. If 1, log (9) (3^(1 - x) + 2) and log(3) (4.3^(x) -1) are A.P. then...

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  15. Two sequences lta(n)gtandltb(n)gt are defined by a(n)=log((5^(n+1))/...

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  16. The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1...

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  17. Natural numbers are written as 1, (2,3), (4,5,6).. Show that the sum...

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  18. If the first term of an A.P. is 2 and common difference is 4, then ...

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  19. If 1+(1+2)/2+(1+2+3)/3+ddotto\ n terms is Sdot Then, S is equal to (n(...

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  20. The sum of 10 terms of the series sqrt(2)+sqrt(6)+sqrt(18)+ddoti s\ ...

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