101k views
4 votes
Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at) 120, 60, 20, 5, 1

1 Answer

2 votes

Answer:

t[1] = 120; t[n] = t[n-1]/n, n ≥ 2

Explanation:

The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.

The first term is 120, so ...

t[1] = 120

Using the above-described rule, ...

t[n] = t[n-1]/n . . . . for n ≥ 2

User Safa Ozturk
by
3.4k points