Determine the Arithmetic Progression whose third term is 5 and the seventh term is 9.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 3, 4, 5, 6, 7, ...
The seventh term exceeds the third by four common differences: 9 − 5 = 4d, so d = 1.
Then the first term is a = 5 − 2d = 3, and the progression runs 3, 4, 5, 6, 7, … — its third term is 5 and its seventh is 9, as required.