NumericalModerate3 marks
If (k –3), (2k + 1) and (4k + 3) are three consecutive terms of an A.P., find the value of k.
Topic: Arithmetic progression
Previous-year question practice database
Answer
Exam answer
For three consecutive A.P. terms: (2k+1) − (k−3) = (4k+3) − (2k+1).
k+4 = 2k+2 k = 2.
Answer: k=2.
Explanation
Consecutive terms of an A.P. have equal differences.