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The first three of four given numbers ar...

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`

Text Solution

Verified by Experts

Last three of the four number are in AP and hence they may be chosen as `a-d,a,a-d`
Also the first numbers are`a+d,a-d,a `:. (a-d)^2=a(a+d)` But `d=6` given
`:. (a-6)^2=a(a+6)`
...
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
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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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