Numbers which follow each other in order without gaps from smallest to largest. Square this quotient and you get the answer of 625. The first few Fibonacci numbers are 1 1 2 3 5 8 13 21 34 each number is the sum of the previous two numbers in the sequence and the first two numbers are both 1.
When you add two consecutive squares and then subtract one you get twice the first of the squares plus its root.
Add six consecutive numbers by multiplying the highest by 6 and subtracting 15. Alternatively you can multiply the sum of the middle two numbers by 3. The Fibonacci sequence is all about adding consecutive terms so lets add consecutive squares and see what we get. If we expand the larger one we get n1 2 n 2 2n1 so it is exactly 2n1 more than the previous square.