The series shows multiples of nine: 9×1, 9×2, 9×3 and 9×4. Following this, the next term should be 9×5. Computing 9×5 gives 45, so 45 is the correct extension of the sequence.
Option A:
Option A is 40, which is not divisible by 9 and does not follow the multiplication rule. Including 40 would disrupt the pattern of multiples of nine. Therefore, it is not correct.
Option B:
Option B is 44, which again is not a multiple of 9 and lies just below 45. It has no direct connection with the established series. Hence, it does not fit the rule.
Option C:
Option C is 48, which equals 9×5 + 3 and is not a pure multiple of nine here. The pattern has not used any additional constant, so 48 cannot be accepted.
Option D:
Option D equals 45 and follows naturally as 9×5. The full sequence 9, 18, 27, 36, 45 keeps the same multiplication by 9 relationship. This makes 45 the valid next term.
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