Answer:
A
Step-by-step explanation:
Given the sequence
1, 9, 17, 25, 33, 41
Note the difference in consecutive terms
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
33 - 25 = 8
41 - 33 = 8
Since the terms have a common difference d then the sequence is arithmetic
To obtain the next term in the sequence add 8 to the previous term
41 + 8 = 49
49 + 8 = 57
57 + 8 = 65
The next 3 terms are 49, 57, 65
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference, thus
= 1 + (19 × 8) = 1 + 152 = 153
The required solution is 49, 57, 65 ; 153 → A