Question

Determine the value of the first term and write a recursive definition for the following

sequence.
{10,15,20,25,30,35,…}
PLEASE SHOW YOUR WORK!

Answer 1

To determine the first term, subtract the common difference from the second term. The recursive definition is an = an-1 + 5.

Step-by-step explanation:

The given sequence is {10, 15, 20, 25, 30, 35, ...}.

To determine the value of the first term, we can subtract the common difference from the second term.

In this case, the common difference is 5, so the first term is 10 - 5 = 5.

To write a recursive definition for the sequence, we can say that the first term is 5 and each subsequent term is obtained by adding 5 to the previous term.

So, the recursive definition is:

an = an-1 + 5