Question

Determine if each number is the sum of two Fibonacci numbers:

15 = ____ + ____
A) 8, 7
B) 5, 10
C) 13, 2
D) 6, 9

Answer 1

15 is the sum of two Fibonacci numbers in Option A (8 + 7) and Option C (13 + 2), as both pairs include numbers from the Fibonacci sequence and their sums equal 15.

Step-by-step explanation:

To determine if 15 is the sum of two Fibonacci numbers, let's look at each pair of numbers provided in the options:

• Option A) 8, 7 - Since 8 and 7 are both Fibonacci numbers, we need to check if their sum equals 15. Indeed, 8 + 7 = 15, so this is a correct pair.
• Option B) 5, 10 - While 5 is a Fibonacci number, 10 is not. Even so, their sum is 15. However, since 10 is not in the Fibonacci sequence, this option is not a correct pair of Fibonacci numbers.
• Option C) 13, 2 - Both numbers are in the Fibonacci sequence, and their sum is 15 (13 + 2 = 15), making this a correct pair.
• Option D) 6, 9 - Neither of these numbers is a Fibonacci number, so this cannot be the right pair.

The correct answer is both Option A and Option C, as they are pairs of Fibonacci numbers whose sum is 15.