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Find the 5th term of the progression 1,(...

Find the 5th term of the progression `1,((sqrt(2)-1))/(2sqrt(3)),\ ((3-2sqrt(2))/(12)),\ ((5sqrt(2)-7)/(24sqrt(3))),\ ddot`

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1+(sqrt(2)-1)/(2sqrt((2)))+(3-2sqrt(2))/12+(5sqrt(2))/24sqrt(2)...

(sqrt(2)-1)/(sqrt(2))+(3-2sqrt(2))/(4)+(5sqrt(2)-7)/(6sqrt(2))+……oo=

(1)/(sqrt(3)+sqrt(2))-(2)/(sqrt(5)-sqrt(3))-(3)/(sqrt(2)-sqrt(5))

(1+sqrt(2))/(sqrt(5)+sqrt(3))+(1-sqrt(2))/(sqrt(5)-sqrt(3))

Find the 7th term of the GP, sqrt(3)+1 , 1 , (sqrt(3) -1)/2 ,.....

(2sqrt(7))/(sqrt(5)-sqrt(3))

(1)/(sqrt(2)+sqrt(3)-sqrt(5))+(1)/(sqrt(2)-sqrt(3)-sqrt(5))

(1)/(2+sqrt(3))+(2)/(sqrt(5)-sqrt(3))+(1)/(2-sqrt(5))=0