Check whether the following sequences ar...

Check whether the following sequences are G.P. If so, write `t_n`: `sqrt 5`, `frac{1}{sqrt 5}`,`frac{1}{5 sqrt 5}`,`frac{1}{25 sqrt 5}`,.........

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[frac{1+i}{sqrt2}]^8+[frac{1-i}{sqrt2}]^8