1. The problem states that the terms in the sequence increase by the same amount each time, meaning it is an arithmetic sequence.
2. The given terms are 12, ___, 26, ... and we need to find the missing term.
3. In an arithmetic sequence, the difference between consecutive terms is constant. Let this common difference be $d$.
4. The first term is $a_1 = 12$.
5. The third term is $a_3 = 26$.
6. The formula for the $n$th term of an arithmetic sequence is $$a_n = a_1 + (n-1)d$$
7. Using the formula for the third term: $$a_3 = a_1 + 2d$$
8. Substitute the known values: $$26 = 12 + 2d$$
9. Solve for $d$: $$2d = 26 - 12 = 14$$ $$d = 7$$
10. Now find the second term $a_2$: $$a_2 = a_1 + d = 12 + 7 = 19$$
The missing term in the sequence is **19**.
Missing Term Ba89D4
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