Answer:
3. an = 6n + 2
Step-by-step explanation:
The differences between given terms are 12:
26 -14 = 12
38 -26 = 12
...
Since these terms are two terms apart in the sequence, the common difference in the arithmetic sequence must be 12/2 = 6.
The only answer choice that has 6 as a common difference is ...
an = 6n +2
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Checking a couple of terms, we find this expression matches:
a2 = 6·2 +2 = 14
a10 = 6·10 + 2 = 62
