Question

write the next term of the AP; /27, /48, /75,......
$write the next term of the AP; \sqrt{?} 27, \sqrt{?} 48, \sqrt{?} 75,......$

Answer 1

$a1 = \sqrt{27 } = 3 \sqrt{3} \\ a2 = \sqrt{48} = 4 \sqrt{3} \\ a3 = \sqrt{75} = 5 \sqrt{3} \\ d \: = a2 - a1 = 4 \sqrt{3} - 3 \sqrt{3} = \sqrt{3} \\ a4 = a + 3d \\ = 3 \sqrt{3} + 3( \sqrt{3} ) \\ = 6 \sqrt{3}$