how do I do this, I dont udnerstand the notations. (an)n where ai = 3i / 2?

Question

how do I do this, I dont udnerstand the notations. (an)n where ai = 3i / 2

there are all small n and i.

the question is write down the irst 10 terms, including a0, of the above sequences

Answer 1

The first 10 terms would be a0 through a9.
They are telling you that, in general, the ith term is 1.5i *i
So a0 = 1.5*0^2=
a1 = 1.5*1^2 = 1.5
a2 = 1.5*2^2= 6
a3 = 1.5 * 3^2 = 13.5
a4 = 1.5*4^2 = 24
etc

Answer 2

Basically, replace i with 0 through 9

a(0) = 3(0)/2 = 0
a(1) = 3(1)/2 = 3/2
a(2) = 3(2)/2 = 3
etc.

it's something like a summation notation.