Question

The next term in the sequence 1, 3, 6, 11, 20, 37, ?

Answer 1

70 will be the next term of the series
3 = 1(2) + 1
6 = 3(2) +0
11 = 6(2) -1
20 = 11(2) -2
37 = 20(2) -3
70 = 37(2) - 4

Answer 2

Question:-
1+2=3
3+3=6
6+5=11
11+7=18
18+ 19=37
37+?=?

Answer :- as we have seen that all the prime numbers have been added then and between 7 and 9 ,3 prime no have been skipped i.e. 11,13 and 17 so we will skip 3 prime no after 19
i.e. 23,29,31 and will add 37 to thirty seven.

37+37 = 74

so series= 1,3,6,11,18,37, 74..

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as i have given solution also .