Photo AI

A male bee comes from an unfertilised egg, i.e - Leaving Cert Mathematics - Question b - 2016

Question icon

Question b

A-male-bee-comes-from-an-unfertilised-egg,-i.e-Leaving Cert Mathematics-Question b-2016.png

A male bee comes from an unfertilised egg, i.e. he has a female parent but does not have a male parent. A female bee comes from a fertilised egg, i.e. she has a fem... show full transcript

Worked Solution & Example Answer:A male bee comes from an unfertilised egg, i.e - Leaving Cert Mathematics - Question b - 2016

Step 1

Continue the diagram to G5.

96%

114 rated

Answer

G5 = Female, Male, Female, Female, Male.

The completed diagram should look like this:

G1 | Female G2 | Male ──> Female G3 | Male ──> Male G4 | Female ──> Female G5 | Female, Male, Female, Female, Male

Step 2

Use this formula to calculate the number of ancestors in G6 and in G7.

99%

104 rated

Answer

To find G6:

G6 = G5 + G4 = 5 + 3 = 8

To find G7:

G7 = G6 + G5 = 8 + 5 = 13

Step 3

Use this formula to verify the number of ancestors in G3.

96%

101 rated

Answer

Using the formula, we calculate G3:

G3 = \frac{(1 + \sqrt{5})^3 - (1 - \sqrt{5})^3}{2^3 \sqrt{5}} = \frac{(1 + \sqrt{5})^3 - (1 - \sqrt{5})^3}{8 \sqrt{5}} = \frac{16 + 8\sqrt{5}}{8\sqrt{5}} = 2

This verifies that G3 has 2 ancestors.

Join the Leaving Cert students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;