Question

if the 1st term and common difference of G.P are each equal to x +\[\sqrt{5-x^2} i\]
then the modulus of nterm

Answer 1

@ghazi

Answer 2

common difference of GP???

Answer 3

is thatsupposed to be common ratio

Answer 4

both are same \[\sqrt{5-x^2} i\]

Answer 5

Is "modulus" here meaning "magnitude?"

Answer 6

\[a _{n}=ar^{n-1}=(x+\sqrt{5-x^2}i)(x+\sqrt{5-x^2}i)^{n-1}\]
\[=(x+\sqrt{5-x^2}i)^{n}\]
if i is outside the square root
modulus means\[\left| \right|\]

Answer 7

Yup i is outside

Answer 8

\[\left| (x+\sqrt{5-x^2}i)^n \right|\]
not sure wat happens to i

Answer 9

lol...i did nt get u

Answer 10

from which step

Answer 11

The answer shuld be 5^(n/2)

Answer 12

well i said we have
\[x(x)^{n-1}=x^n\]
where x is that expression
\[(x+\sqrt{5-x^2}i)^n\]

Answer 13

ok... then

Answer 14

\[i=\sqrt{-1}\]
so
\[(x+\sqrt{-1}\sqrt{5-x^2})^n\]

Answer 15

which is
\[(x+\sqrt{x^2-5})^n\]

Answer 16

\[\left| (x+\sqrt{x^2-5})^n \right|\]