Compute the first seven terms of this sequence whose nth term is:
an=1/square root 5(1+sqrt5/2)^n - 1/sqrt5(1-sqrt5/2)^n
This would read as: a sub n equals 1 over the square root of 5 * (1+ square root of 5 over 2) to the nth power, minus 1 over square root of 5 * (1 minus square root of 5 over 2) to the nth power.
If you could please explain and show the steps, it would be much appreciated!
an=1/square root 5(1+sqrt5/2)^n - 1/sqrt5(1-sqrt5/2)^n
This would read as: a sub n equals 1 over the square root of 5 * (1+ square root of 5 over 2) to the nth power, minus 1 over square root of 5 * (1 minus square root of 5 over 2) to the nth power.
If you could please explain and show the steps, it would be much appreciated!