In the following series, find out the missing number. 20, 23, 30, 43, 64, ?
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In the following series, find out the missing number. 20, 23, 30, 43, 64, ?
95
90
100
105
None of these
Differences: 23-20=3, 30-23=7, 43-30=13, 64-43=21. Second differences: 7-3=4, 13-7=6, 21-13=8. Next second difference is 10. Next first difference is 21+10=31. Next number is 64+31=95.
The differences between consecutive terms are formed by adding consecutive prime numbers: 3, 7, 13 and 21. The next difference should be 31, so adding 31 to the last term of 64 gives 95.