Aspire Faculty ID #5718 · Topic: DU MCA 2019 · Just now
DU MCA 2019

What is the next term in the series? 2, 7, 14, 23, 34, ______

Solution

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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