What is the fifth term in the arithmetic progression (6, 10, 14, 18, …)?

Correct answer: 22

The governing concept is the constant common difference of an arithmetic progression. Subtract consecutive terms: 10−6=4, 14−10=4, and 18−14=4. Hence the common difference is d=4. The displayed sequence contains the first four terms, so the fifth term is obtained by adding the same difference to the fourth term: a₅=18+4=22. Therefore option C is correct. The result can also be checked using aₙ=a₁+(n−1)d: a₅=6+(5−1)4=6+16=22. Options A and B do not continue the established increase of four, while option D would require an increase of six from 18. Identifying the constant difference avoids guessing and confirms the unique answer.