Brain Teasers
2, 5, 7, 10, 13, 15, 18, 20...
What are the next five terms in this sequence?
2, 5, 7, 10, 13, 15, 18, 20, 23, 26, 28, 31, 34, 36, 39, 41, 44, 47, 49, 52...
2, 5, 7, 10, 13, 15, 18, 20, 23, 26, 28, 31, 34, 36, 39, 41, 44, 47, 49, 52...
Hint
Each term is 2 or 3 greater than its preceding term, but this is not all.Answer
The pattern is: the nth term in this sequence is n greater than the nth natural number that is NOT contained in this sequence.2=1+1, 5=3+2, 7=4+3, 10=6+4, 13=8+5, 15=9+6, 18=11+7, 20=12+8, 23=14+9, 26=16+10, 28=17+11, 31=19+12, 34=21+13, 36=22+14, 39=24+15, 41=25+16, 44=27+17, 47=29+18, 49=30+19, 52=32+20.
Therefore, the next five terms are: 54=33+21, 57=35+22, 60=37+23, 62=38+24, 65=40+25.
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