Question

find the 10th term of an ap √2,√8,√18...

Answer 1

√2 , √8, √18 ...........
√2, 2√2, 3√2, ........... are in AP
first term (a ) = √2
common difference ( d ) = √2

$T_n=a+(n-1)d\\\\T_{10}=\sqrt{2}+(10-1)\sqrt{2}\\\\=\sqrt{2}+9\sqrt{2}=10\sqrt{2}$