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Insert four G.M.s between 2 and 486....

Insert four G.M.s between 2 and 486.

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Let four G.M.'s between 2 and 496 be `g_(1),g_(2),g_(3) and g_(4)`.
So, 2, `g_(1),g_(2),g_(3),g_(4)` 486 are in G.P..
`therefore486=2xxr^(5)`
`rArrr^(5)=243=3^(5)`
`rArrr=3`
`rArrg_(1)=2r=2xx3=6,`
`g_(2)=2r^(2)=2xx3^(2)=18`,
`g_(3)=2r^(3)=2xx3^(3)=54`,
`g_(4)=2r^(4)=2xx3^(4)=162`
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CENGAGE PUBLICATION-PROGRESSION AND SERIES-ILLUSTRATION 5.45
  1. Insert four G.M.s between 2 and 486.

    Text Solution

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