Given series: $2,\,7,\,14,\,23,\,34,\,\_\_$
Find the differences:
$7-2=5$, $14-7=7$, $23-14=9$, $34-23=11$
Difference pattern: $5,\,7,\,9,\,11$ (increases by 2 each time)
Next difference $= 11 + 2 = 13$
Next term $= 34 + 13 = 47$
Answer: $\boxed{47}$ ✅
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