NABTEB Mathematics 2024 Objective — Question 49

Question 49 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

The fourth and eighth terms of an Arithmetic Progression are 16 and −4 respectively. Find the common difference.

A. A. -6Correct
B. B. 6
C. C. -2
D. D. 2

Explanation

Let a+3d=16 (3rd term... using given relation) and a+7d=−8 (7th term). Subtracting: 4d=−24 → d=−6.

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