Write the next 3 terms of AP​√27,​√48,​√75 etc (Revision)

We havea = 27 = 33a2 = 48 = 43a3 = 75 = 53Now, d = a2 - a = 43 -33 = 3Now, a4 = a3+d = 53 + 3 = 63 = 108a5 = a4+d = 63+3 = 73 = 147a6 = a5+d = 73+3 = 83 = 192

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AP: √27 , √48 , √75.....
Simplifying it we have,
3√3 , 4√3 , 5√3...
Thus , a = 3√3 and d = √3

Hence, a4 = a3 + d = 5√3 + √3 = 6√3

a5 =a4 + d = 6√3 + √3 = 7√3
a6 = a5 + d = 7√3 + √3 = 8√3







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root 27 can be written as root(3*3*3) or 3root3 .
similarly root 48 as 4root3 and root 75 as 5root3.
hence the next 3 terms of this a.p. are root 108(or 6root3) , root 147 (or 7root3) and root 192 (or 8root3)
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AP: √27 , √48 , √75.....
Simplifying it we have,
3√3 , 4√3 , 5√3...
Thus , a = 3√3 and d = √3

Hence, a4 = a3 + d = 5√3 + √3 = 6√3

a5 =a4 + d = 6√3 + √3 = 7√3
a6= a5 + d = 7√3 + √3 = 8AP: √27 , √48 , √75.....
Simplifying it we have,
3√3 , 4√3 , 5√3...
Thus , a = 3√3 and d = √3

Hence, a4 = a3 + d = 5√3 + √3 = 6√3

a5 =a4 + d = 6√3 + √3 = 7√3
a6= a5 + d = 7√3 + √3 = 8√3
Therefore its next terms are √108 , √147 and √192.
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