1.

x = 1+(3 ) /(1 ! )xx (1 )/(6) +( 3 xx 7 ) /(2 ! )( (1 )/(6) ) ^ 2+ (3 xx 7 xx 11 ) /(3 ! )((1 )/(6))^ 3+… rArrx ^4 =

Answer»

`81 `
`54 `
`27`
`8`

Solution : ` x = 1+(3 ) /(1! )XX(1 )/(6)+(3 xx 7 ) /(2 ! )((1 )/(6))^ 2+(3 xx 7 xx 11 ) /(3 ! )((1 )/(6))^(3)+…`
`x= (1 - y ) ^(-p//q ) `
`p =3,p + q= 7,(y ) /(q)= (1 )/(6) `
`q =4 `
` (y) /(4)=(1 )/(6)`
`rArry =(4 ) /(6)`
` thereforey=(2 ) /(3)`
` x = (1 -(2 ) /(3) ) ^(-3//4)`
` RARRX =((1)/(3)) ^( -3/4)`
`rArrx=3^(3//4)`
` rArr x = 4 sqrt(27)`
`thereforex ^ 4 =27 `


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