Inactive Tutor answered 05/22/21
Look at the sequence
house 2 3 4 5
ways 1 2 3 5
Going to be the Fibonacci sequence, so add two numbers to get the next
So 6th house : 3+5=8
7th house : 5+8=13
etc
Keep going until you get to house 13
Melanie J.
asked 05/22/21A Street has 13 houses in a row as shown in the figure. Some residents in the first house tested positive for COVID-19. The virus spreads in two ways: it can spread to the next house, or jump directly to the third house. Residents of house number 2 can get infection in only one way, the house number 3 in two ways, the house number 4 in 3 ways, the house number 5 in 5 ways and so on. If the virus only progresses from Left to Right direction, in how many ways can the residents of the house number 13 get infected?
Inactive Tutor answered 05/22/21
Look at the sequence
house 2 3 4 5
ways 1 2 3 5
Going to be the Fibonacci sequence, so add two numbers to get the next
So 6th house : 3+5=8
7th house : 5+8=13
etc
Keep going until you get to house 13
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Norman N.
how do we know that fibonaachi works for this? I mean i figured this to be a permutation & combination problem and the method you say does work but can you explain in a bit more detail? Thank you12/29/22