What is the 10th term of the following series: 7, 14, 28, ...

Step 1: Identify the type of series

The series is a geometric progression with first term a = 7 and common ratio r = 2.

Step 2: Use the formula for the nth term

The formula for the nth term is a_n = a × r^(n-1). For n = 10, a_10 = 7 × 2^(10-1) = 7 × 2^9.

Step 3: Calculate the 10th term

2^9 = 512, so a_10 = 7 × 512 = 3584.

Answer: The 10th term is 3584. Therefore, the correct option is (B) 3584.