the infinite sequence of numbers (1, 1, 2, 3, 5, 8, 13, . . .), with each number from the third term on being the sum of the two previous numbers

Question

campbell_st · Answer

you have Fibonacci numbers

campbell_st · Answer

the 1st 2 numbers are 1   and then each number is the sum of the previous 2

3rd term    1 + 1 = 2

4th term     1 + 2 = 3

5th term     2 + 3 = 5

etc

anonymous · Answer

Thanks

campbell_st · Answer

so in general, T = term  and n = term number 

$$T_{n} = T_{n -1} + T_{n - 2}$$

so the 3rd term is 

$$T_{3} = T_{2} + T_{1}$$