Find the 20th Element in the Sequence: 30,5,25,5,20...

To solve this problem, we'll follow these steps:

• Step 1: Identify the series pattern
• Step 2: Determine where the number 5 appears in the sequence
• Step 3: Find the 20th term in the series

Now, let's work through each step:
Step 1: The given series is $30, 5, 25, 5, 20, \ldots$. Notice this forms a repeating pattern between decreasing numbers and the number 5.
Step 2: Observe that every odd position term (1st, 3rd, 5th, ...) is a decreasing sequence from 30 by 5: $30, 25, 20, \ldots$. Meanwhile, every even position term in the series is 5.
Step 3: We need the 20th term. Since 20 is an even number, it corresponds to a constant "5".

Therefore, the 20th element in the series is $5$.