474,839 views
2 votes
2 votes
What is an explicit formula for the sequence 0,3,8,15,24,...? What is the 20th term?​

User Mirco Dotta
by
2.6k points

1 Answer

14 votes
14 votes

Answer:

the most logical answer is

n^2-1

20th term is then 399

Explanation:

The rule behind the sequence could be anything, but it is very likely that we're supposed to notice that the terms are all squares minus 1

0 = 1*1 - 1

3 = 2*2 - 1

8 = 3*3 - 1

15 = 4*4 - 1

24 = 5*5 - 1

So we expect that the explicit formula is n^2-1 and the 20th term is 399

User Mini Fridge
by
2.9k points