I need to set up a chart to find the 6th and nth terms in this sequence - and soleve for the rule or process.
here's the sequence:
1,3,9,27,81
Thanks!
the 6th term is 243.
21 31 41
To find the 6th term and the nth term in this sequence, we first need to determine the pattern or rule governing the sequence. Looking at the given sequence: 1, 3, 9, 27, 81, we can observe that each term is obtained by multiplying the previous term by 3.
To set up a chart, we can create two columns - one for the positions of the terms (n) and another for the values in the sequence. The chart will help us visualize the relationship between the positions and the corresponding values.
Here is an example of the chart:
| n | Sequence |
|-----|------------|
| 1 | 1 |
| 2 | 3 |
| 3 | 9 |
| 4 | 27 |
| 5 | 81 |
| 6 | |
| n | |
In the "Sequence" column, we can fill in the values given in the sequence: 1, 3, 9, 27, and 81. To find the 6th term, we need to determine the value at position 6 in the sequence.
Since each term is obtained by multiplying the previous term by 3, we can use this rule to find the 6th term. In this case, the 6th term would be 81 * 3 = 243.
To find the nth term, we can generalize the pattern observed in the sequence. We notice that each term is obtained by multiplying the previous term by 3. Therefore, the rule or process can be written as (3^(n-1)), where n represents the position of the term in the sequence.
Hence, the 6th term is 243, and the nth term can be calculated using the formula (3^(n-1)).