Determine whether the sequence is geometric or arithmetic. Then give the general formula for the nth term of the sequence.

6.1, 6.9, 7.7, 8.5, 9.3,...

I think it is Geometric, but i don't know how to find the formula

If it's geometric, the ratio of successive terms does not change:

6.9/6.1 = 1.131
7.7/6.9 = 1.116
...
not geometric

If it's arithmetic, the difference between terms does not change:

6.9-6.1 = .8
7.7-6.9 = .8
8.5-7.7 = .8
9.3-8.5 = .8
looks like an A.S. to me.

Determine the 8th term of the following arithmetic sequence. -7, 2, 11, 20...

To determine whether the given sequence is geometric or arithmetic, we need to check if there is a constant ratio between consecutive terms.

Let's calculate the differences between adjacent terms:

6.9 - 6.1 = 0.8
7.7 - 6.9 = 0.8
8.5 - 7.7 = 0.8
9.3 - 8.5 = 0.8

Since the differences are all the same (0.8), this indicates that the sequence is arithmetic.

To find the general formula for the nth term of an arithmetic sequence, we can use the formula:

nth term = a + (n - 1)d

Where:
a is the first term of the sequence
n is the position of the term in the sequence
d is the common difference between consecutive terms

In this case, the first term (a) is 6.1, and the common difference (d) is 0.8. Plugging these values into the formula, we can find the general formula for the nth term:

nth term = 6.1 + (n - 1) * 0.8

Therefore, the general formula for the nth term of the given sequence is 6.1 + 0.8(n - 1).

To determine whether a sequence is geometric or arithmetic, you need to check if there is a common ratio or a common difference between consecutive terms.

For the given sequence: 6.1, 6.9, 7.7, 8.5, 9.3,...

To check for an arithmetic sequence, calculate the differences between consecutive terms:

6.9 - 6.1 = 0.8
7.7 - 6.9 = 0.8
8.5 - 7.7 = 0.8
9.3 - 8.5 = 0.8

Since the differences are all the same (0.8), the sequence is arithmetic.

To find the general formula for the nth term of an arithmetic sequence, you can use the formula:

a_n = a_1 + (n - 1)d

Where:
a_n = nth term of the sequence
a_1 = first term of the sequence
d = common difference between consecutive terms

In this case, we can determine the formula for the nth term as follows:

a_1 = 6.1 (first term of the sequence)
d = 0.8 (common difference)

The formula for the nth term is:

a_n = 6.1 + (n - 1) * 0.8