Question

The numbers in the sequence 2, 5, 8,11 and the numbers in the sequence 7, 11, 15, 19 …. are joined pairwise as given below(2, 7), (5, 11), (8, 15) Prove that these are on a line.

Answer 1

Distance between (2, 7) and (5, 11) = \(\sqrt{9+16}=5\)

Distance between (5, 11) and (8, 15) = \(\sqrt{9+16}=5\)

Hence the distances are same, so the points are lie on the same line.