Question

Give the square that satisfy given equation? An=3n+1 of at least 5 terms

Answer 1

Not sure what you are asking for here but the following are squares within the given series `A_n=3n+1`:
`color(white)("XXX")color(blue)({A_0=1^2,A_1=2^2,A_5=4^2,A_8=5^2,A_16=7^2,A_21=8^2,...}`

Explanation:

If this is what you are asking for, probably the easiest way to get the result is to list integer squares and check if, after division by `3`, there is a remainder of `1`