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.

step-by-step explanation:

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.