Question

Here are the first six terms of an arithmetic sequence 3,8,13,18,19,23,28 find the an expression for the nth term

Answer 1

The expression for the nth term is 5n-2.

Step-by-step explanation:

To find an expression for the nth term of an arithmetic sequence, we need to observe the pattern in the given sequence. In this case, the common difference between consecutive terms is 5 (8-3=5, 13-8=5, and so on).

So, the nth term can be expressed as:

a + (n-1)d

Where 'a' represents the first term and 'd' represents the common difference. Plugging in the values from the given sequence (a=3 and d=5) we get:

3 + (n-1)5

Simplifying it further, the expression for the nth term is:

5n-2