Mathematics, 25.09.2021 14:00, gora2005

The sums of the squares of consecutive Fibonacci numbers beginning with the first Fibonacci number form a pattern when written as a product of two numbers. 12 + 12 = 1 × 2
12 + 12 + 22 = 2 × 3
12 + 12 + 22 + 32 = 3 × 5
12 + 12 + 22 + 32 + 52 =
12 + 12 + 22 + 32 + 52 + 82 =
12 + 12 + 22 + 32 + 52 + 82 + 132 =

a. Compute the three missing sums for the equations shown here. What is the pattern involving the product of two numbers for determining the sum of consecutive Fibonacci numbers?

Answer for a: The product of the last Fibonacci number in the sum times the next Fibonacci
number.

b. Use the pattern from part a to find the sum of the squares of the first 9 Fibonacci numbers.

Answers: 1

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 13:00, HyperZ

Which measurement is the most precise? a) 29 cm b) 28.8 cm eliminate c) 28.76 cm d) 28.762 cm

Answers: 2

continue

Mathematics, 21.06.2019 17:30, allisonlillian

Select the quadratic that has root x = 8 and x = -5

Answers: 3

continue

Mathematics, 22.06.2019 01:30, christyr2002

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?

Answers: 1

continue

Mathematics, 22.06.2019 03:30, isabelzavalalopez28

What is the midpoint of np if n (1,9) and p (-5-1)

Answers: 2

continue

Do you know the correct answer?

The sums of the squares of consecutive Fibonacci numbers beginning with the first Fibonacci number f...