Question

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

Answer 1

you have Fibonacci numbers

Answer 2

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

Answer 3

Thanks

Answer 4

so in general, T = term and n = term number

\[T_{n} = T_{n -1} + T_{n - 2}\]

so the 3rd term is

\[T_{3} = T_{2} + T_{1}\]