Question

Based on the pattern in the table, what is the value of a?

Powers of 2
2-1
2-2
2-3
2-4
2-5
2-6
Value
1
2
1
-14
1
10
8
16
32
a
CTS

Answer 1

Without a coherent pattern or rule provided in the tables, it is impossible to accurately determine the value of 'a'. However, in typical sequences where powers of 2 are involved, the values often double with each increase in exponent.

Step-by-step explanation:

The student's question appears to be inquiring about the value of a given a pattern of powers of 2 and corresponding values. However, the provided information seems to be a mixture of unrelated tables and does not form a coherent pattern for determining the value of a. Without a clear sequence or relationship, it's not possible to definitively determine the value of a.

Nevertheless, if we were to speculate based on typical patterns observed in powers of 2, in a correctly structured sequence where each power of 2 has a clear corresponding value, one might expect the sequence to double as the exponent increases by one. For example, if 21 corresponds to 2, then 22 would typically correspond to 4, 23 to 8, and so on.

To find the correct value of a, a specific rule or pattern needs to be clearly established. The step-by-step approach to solve such problems involves identifying the sequence rule, applying it to the given powers, and calculating the corresponding value based on this rule.