Question

write the next term of the ap- √8,√18,√32..

Answer 1

√8=√4×2=2√2
√18=√9×2=3√2
√32=√16×2=4√2
therefore next term will be,
5√2=√25×2=√50
and next root is
6√2=√36×2=√72
it continues till infinity
I will say u how I had done this method
see this is A.P
just take first term
√8 u take it and divide this √8
see properly
$\sqrt{4 \times 2} = \sqrt{8}$
u can do like this na..
so, here
$\sqrt{4} \times \sqrt{2} = \sqrt{8}$
u can take like also write
so now the
$2 \times \sqrt{2} = \sqrt{8}$

therefore √4= 2
so u got this as 2√2=√8
so take next term
and try to do in these methods only so u can get it
and this is arithmetic progression so now u have to find next term
2√2,3√2,4√2,...
so there is a common difference
d=a2-a1
d=√2
so,
and next term will be 5√2 ,..... etc
......
.....
thank u

Answer 2

make it as brain list