A Greek theater has 30 seats in the first row of the center section. Each row behind the first row gains two additional seats. How many seats are in the 25^th row in the center section?

What is the sum of the first 50 terms for the following arithmetic series:

2 + 17 + 32 + 47 + ...?

Write a recursive rule for the sequence 17, 1, -15, -31, …

What is the 11th term of the geometric sequence?

-2, 10, -50, 250, …

Alex earns $20,000 salary in the first year of his career. Each year, he gets a $1200 raise. How much does Alex earn in the first four years of his career?

Calculate the sum of the following arithmetic series.

Find the sum of the infinite geometric series, if it exists:

5 + 4 + 3.2 + 2.56 + ...

Find the sum of the arithmetic series described:

2 + (-2) + (-6) + (-10)..., S₁₀

An arithmetic sequence has a₁₅=160 and a common difference of -15. Find a₄₀.

Gloria started a new job with a starting salary of $52,000. If she is promised a 4% raise each year, find her salary in 30 years.

Find the sum of the infinite geometric series, if it exists. $\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}$  

Is the sequence convergent or divergent?

Determine whether the sequence is convergent or divergent:

a_n=2 (⅓)^n-1

Find the sum of the infinite geometric series, if it exists. $\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+...$