Exponential And Logarithmic Functions

Step 1: Recall the formula for the sum of an arithmetic progression (AP):

The sum of the first terms of an arithmetic progression is given by the formula:

Step 2: Identify the values from the given arithmetic progression:

• First term
• Common difference
• Number of terms

Step 3: Substitute the values into the sum formula:

Substituting the values into the formula:

Conclusion:

The sum of the first 20 terms of the arithmetic progression is 610. However, none of the provided options (400, 420, 440, or 460) match the calculated result, indicating a possible issue with the options.