In a “Fibonacci” sequence of numbers, each term beginning with the third, is the sum of the previous two terms. The first number in such a sequence is 2 and the third is 9. What is the eighth term in the sequence?
a1 = 2 a2 = ? a3 = 9
Since a1 + a2 = a3
---> 2 + a2 = 9
---> a2 = 7
So, we now have: a1 = 2 a2 = 7 a3 = 9
a4 = a2 + a3 ---> a4 = 7 + 9 = 16 a4 = 16
a5 = a3 + a4 ---> a5 = 9 + 16 = 25 a5 = 25
a6 = a4 + a5 ---> a6 = ...
Follow the pattern ...
