Homework SourseWrite a formula for the nth term of the sequence Identify yo
Write a formula for the nth term of the sequence. Identify your formula as recursive or explicit.
0, 3, 8, 15, 24, 35,...
Solution
0, 3, 8, 15, 24, 35,...
The pattern is multiplying a pair of numbers where both increase by 1 each time.
So, the formula for the sequence is:
nth term = (n-1)*(n+1)
This formula is an explicit formula as we can find the value of the any term in the sequence.
| Index | 1 | 2 | 3 | 4 | 5 | 6 |
| Term | 0 | 3 | 8 | 15 | 24 | 35 |
| Factors | 0*2 | 1*3 | 2*4 | 3*5 | 4*6 | 5*7 |
| (0+1)*(2+1) | (1+1)*(3+1) | (2+1)*(4+1) | (3+1)*(5+1) | (4+1)*(6+1) |
