Question

Using the 6th term determine the 30th term

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the 30th term in a arithmetic sequence, we need to know the common difference between each term.

Since we are given the 6th term, we can use it to find the common difference by subtracting the 6th term from the 6th term. Let's assume the 6th term is represented by "a", and the common difference is represented by "d".

a6 = a1 + (6-1)d
a6 = a1 + 5d

Now, if we subtract a1 from both sides, we get:

a6 - a1 = 5d

We can now substitute the given value of the 6th term into this equation to find the common difference.

Once we have the common difference, we can then use it to find the 30th term using the formula:

an = a1 + (n-1)d

Substitute the values of a1, n, and d into the formula to find the 30th term.