SOLUTION: According to the following sequence how to find the nth term 1, 2, 3, 6, 11, 20, 37, 68, …

Question 1177677: According to the following sequence how to find the nth term
1, 2, 3, 6, 11, 20, 37, 68, …
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

TRIbonacci numbers -- like Fibonacci numbers except each term is the sum of the preceding THREE terms:
first three numbers 1, 2, 3;
each subsequent term is the sum of the preceding three terms

1
2
3
1+2+3=6
2+3+6=11
3+6+11=20
6+11+20=37
11+20+37=68
...

You can use the recursive definition to find as many terms as you want.

I don't believe there is an explicit formula for the n-th term.

RELATED QUESTIONS
According to the following sequence for first 997th terms, how many odd number(s) is /... (answered by greenestamps)

how to find the nth term of the following sequence. 1, -2, 3, -4,... (answered by josgarithmetic)

write a formula for the general (nth term) of the following arithmetic sequence. then use (answered by Mathtut)

These are the first 4 numbers of a sequence: 1 3 6 10 ... Explain how to find the... (answered by rfer)

Use the arithmetic sequence of numbers 2,4,6,8,10... to find the following: 1. {{{ what... (answered by longjonsilver)

Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,�to find the following: a)What is... (answered by sarah_adam)

Use the arithmetic sequence of numbers 1. 3, 5, 7, 9,...to find the following: a) what... (answered by stanbon)

Hi, Could you help me find the 7th, 8th, and 9th terms of the following sequence... (answered by richard1234)

what is the sequence of this (2, 3, 4, 5, 7, 8 ,9, 10, 11, 13, 14, 15, 16 ,17, 19, 21,... (answered by richard1234)