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If x= (3)/(4.8) + (3.5)/(4.8.12)+ (3.5.7...

If `x= (3)/(4.8) + (3.5)/(4.8.12)+ (3.5.7)/(4.812.16)` + …., then `2x^2+5x=`

A

`7/8`

B

`7`

C

`7/16`

D

`7/4`

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The correct Answer is:
A
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(3)/(4.8)+(3.5)/(4.8.12)+(3.5.7)/(4.8.12.16)+….=

1-(3)/(4)+(3.5)/(4.8)-(3.5.7)/(4.8.12)+….=

Show that (3)/(4.8)-(3.5)/(4.8.12) + (3.5.7)/(4.8.12.16) - …… = sqrt(2/3) -3/4

Find the sum of the infinite series (3)/(4.8)-(3.5)/(4.8.12)+(3.5.7)/(4.8.12.16)-......

(1)/(4)-(5)/(4.8)+(5.7)/(4.8.12)-…....=

Show that 3/4 + (3.5)/(4.8)+ (3.5.7)/(4.8.12)+ …… = sqrt8 -1

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