# Question #46f4b

##### 2 Answers

286.8 is the 24th term in the sequence.

#### Explanation:

In an arithmetic sequence we need to know

We know neither of them, and as we are looking for two variables, we will make simultaneous equations.

For

For

B-A :

Substitute 12.6 for d in A:

Now we can write the General Term for this sequence..

Which term is 286.8??

#### Explanation:

Let the number of steps be

Let the 5th term be

Let the difference between terms be

An arithmetic sequence is of form:

The number of steps between the given terms:

So there are 5 steps from

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Thus for the target term we have:

So the term is