To find the missing term in the given sequence, let's analyze the pattern:
Starting with the first term, 3, each subsequent term is obtained by doubling the previous term and then subtracting 1.
Here's the step-by-step explanation:
First term: 3
Second term: (3 * 2) - 1 = 6 - 1 = 5
Third term: (5 * 2) - 1 = 10 - 1 = 9
Fourth term: (9 * 2) - 1 = 18 - 1 = 17
Fifth term: (17 * 2) - 1 = 34 - 1 = 33
Sixth term: (33 * 2) - 1 = 66 - 1 = 65
Therefore, the missing term in the sequence 3, 7, 15, 31, ____, 127 is 65.
Looking at the options:
A. 63 - This option is incorrect because the missing term is 65, not 63.
B. 71 - This option is incorrect because the missing term is 65, not 71.
C. 92 - This option is incorrect because the missing term is 65, not 92.
D. 113 - This option is incorrect because the missing term is 65, not 113.
The correct answer is A) 63.