Question 19.35

5. Put the golden ratio into the memory of your calculator.

  1. Look at the value. Now square it (either use the button or multiply it by itself). What do you observe?
  2. Go back to ΓΏ. Now take its reciprocal (either use the button or divide it into 1). What do you observe?
  3. What formula explains what you saw in part (a)?
  4. What formula explains what you saw in part (b)?

5.

(a), (b) The digits after the decimal point do not change.

(c)

(d)