Question

Common difference for the Arithmetic Progression (AP): $-5, -1, 3, 7, \ldots$ will be:

• A. 1
• B. 2
• C. 3
• D. 4

Hint:

In an Arithmetic Progression, the difference between consecutive terms always remains constant.

Answer 1

The Correct Option is D

Step 1: Recall the formula.
The common difference (d) in an AP is the difference between any two consecutive terms. \[ d = a_2 - a_1 \]
Step 2: Substitute values.
\[ d = (-1) - (-5) = 4 \]
Step 3: Verify.
Next term difference check: $3 - (-1) = 4$, $7 - 3 = 4$. Thus, the common difference is confirmed.

Step 4: Conclusion.
Hence, the common difference of the given AP is 4.