What is the 8th term of the linear sequence below? 6 13 20 27 34
just keep adding 7
To find the 8th term of a linear sequence, you first need to identify the common difference between the terms. In this case, the common difference is 7, as each term is obtained by adding 7 to the previous term.
Once you've determined the common difference, you can calculate the value of the 8th term by using the formula for the nth term of an arithmetic sequence:
nth term = initial term + (n - 1) * common difference
In this sequence, the initial term is 6 and the common difference is 7. Plugging these values into the formula, we have:
8th term = 6 + (8 - 1) * 7
Simplifying the expression, we get:
8th term = 6 + 7 * 7
Calculating further, we have:
8th term = 6 + 49
Finally, we find that the 8th term of the given sequence is 55.
To find the 8th term of a linear sequence, we need to identify the pattern and use it to calculate the value.
Looking at the sequence: 6, 13, 20, 27, 34, ...
The common difference between consecutive terms is 7 (13-6=7, 20-13=7, etc.). This means that each term increases by 7.
To find the 8th term, we can start with the first term (6) and add the common difference (7) seven times:
6 + 7 + 7 + 7 + 7 + 7 + 7 + 7
Simplifying this, we get:
6 + 7(7)
6 + 49
So, the 8th term of the sequence is 55.