recursive rule:
term(n+1) = term(n) + (n) also, n starts at 0 and term(1)=3
term(1) = 3 ; (n=0)
term(2) = term(1) + (1) = 4
term(3) = term(2) + (2) = 6
term(4) = term(3) + (3) = 9
term(5) = term(4) + (4) = 13
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18. The pattern is 3+1=4, 4+2=6, 6+3=9, 9+4=13, so 13+5=18
18
18. 3+1=4, 4+2=6, 6+3=9, 9+4=13, 13+5=18.
18
18
18 is the answer and here is why:- 3+1=4 4+2=6 6+3=9 9+4=13 13+5=18
18. The pattern is 3+1=4, 4+2=6, 6+3=9, 9+4=13, so 13+5=18
18
18 (3+1 4+2 6+3 9+4 13+5)
18. 3+1=4, 4+2=6, 6+3=9, 9+4=13, 13+5=18.
The next number in the sequence is 18. It's +1, +2, +3, +4, ....
18
18
18
The rule for this sequence appears to be adding consecutive prime numbers. The sequence starts with 3, then adds the next prime number 2 to get 4. It then adds 3 (the next prime number) to 4 to get 7, then 5 to 7 to get 12, and so on. Each number in the sequence is the sum of the previous number and the next prime number in order.
18
18