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From the given series, which is the Arithmetic Progression (AP)?

A. 7, 18, 29, 40, ...

B. 3, 13, 23, 33, ...

C. 3, -8, -3, 18, ...

D. 2, -2, -6, -10, ...

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 2

A progression is an AP only if consecutive differences are constant.

A: differences 11,11,1111, 11, 11, so AP.

B: differences 10,10,1010, 10, 10, so AP.

C: differences −11,5,21-11, 5, 21, not constant, so not an AP.

D: differences −4,−4,−4-4, -4, -4, so AP.

Hence A, B and D.

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