Question

1.Write the arithmetic sequences that would find the nth term.

2.Using the formula you created, what is the 15th term?

Answer 1

An arithmetic sequence is a sequence with a constant difference between consecutive terms. The formula to find the nth term is a_n = a_1 + (n-1)d. The 15th term of the given arithmetic sequence is 225.

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. The formula to find the nth term of an arithmetic sequence is:

an = a1 + (n-1)d

Where an is the nth term, a1 is the first term, and d is the common difference. In this case, we have a sequence where each term is represented by n2 (n squared).

So, the formula for this sequence is:

an = n2

To find the 15th term, we substitute n = 15 into the formula:

a15 = 152

a15 = 225