Question

A pineapple was found to have two sets of opposing spirals formed by its leaves. The clockwise spiral has x leaves. The number of leaves in the counterclockwise direction is 5 more than that in the clockwise direction. These leaf numbers are consecutive numbers in the Fibonacci sequence. Which equation is true for the number of leaves in the two spirals?

Answer 1

Option 1

Answer 2

option 2

Answer 3

option 3

Answer 4

option 4

Answer 5

@ash2326 can you please help me?

Answer 6

Hey hang, do you know fibonacci sequence?

Answer 7

yes, i do

Answer 8

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811

Answer 9

@ash2326 can you please help me?

Answer 10

Could you write the sequence for me?

Answer 11

You always add the last two numbers to get the next number

Answer 12

0, 1, 1, 2, 3, 5, 8, 13, 21
notice the terms after 5

Answer 13

what about them?

Answer 14

The number of leaves in the counterclockwise direction is 5 more than that in the clockwise direction. These leaf numbers are consecutive numbers in the Fibonacci sequence.

Answer 15

ok

Answer 16

got the idea?

Answer 17

yes, but i dont see how it relates to the problem

Answer 18

brb

Answer 19

ok

Answer 20

i tried to substitute 13 for x, and none of them work

Answer 21

21, and 34 dont work either

Answer 22

You know no. of leaves in the counter clock wise is 5 more than the no. in clock wise
let x be the number in clock wise
x+5 will be the number in anticlockwise

Answer 23

the hint is in the question, the no. of leaves are consecutive no. in Fibonacci
so
0, 1, 1, 2, 3, 5, 8, 13, 21
3 is generated by sum of 2 and 1 so 3=2+1
8 by 5 and 3, so 8=5+3
13 by 8 and 5 , so 13= 8+5
\[\large 8, 13\]
does this ring a bell?

Answer 24

yes

Answer 25

so what's x ?

Answer 26

x=8, 8/5=1.6

Answer 27

yeah :D did you understand?

Answer 28

yes i did understand.

Answer 29

Thank you for your help :)

Answer 30

welcome :D