1 3 4 7 11 18 29 47 76 123 199 .......and so on Add together the previous two terms to find the next term i.e 1+3=4, 3+4=7, 4+7=11
35 * * * * * That is the next term. The question, however, is about the nth term. And that is 6*n - 1
The nth term for that arithmetic progression is 4n-1. Therefore the next term (the fifth) in the sequence would be (4x5)-1 = 19.
It is 6n+5 and so the next term will be 35
We note that there are a difference of '9' between terms . Hence '9n' Next find the constant 'c' 1st term ; 9(1) + c = 20 => c = 11 2 nd term ; 9(2) + c = 29 => c = 11 nth term is 9n + 11 e.g. 7th term is 9(7) + 11 = 63 + 11 = 74
5, 11, 17, 23, 29
35 * * * * * That is the next term. The question, however, is about the nth term. And that is 6*n - 1
The nth term for that arithmetic progression is 4n-1. Therefore the next term (the fifth) in the sequence would be (4x5)-1 = 19.
Un = 29 - 9n
The nth term is -7n+29 and so the next term will be -6
It is 6n+5 and so the next term will be 35
It is: nth term = 29-7n
76
We note that there are a difference of '9' between terms . Hence '9n' Next find the constant 'c' 1st term ; 9(1) + c = 20 => c = 11 2 nd term ; 9(2) + c = 29 => c = 11 nth term is 9n + 11 e.g. 7th term is 9(7) + 11 = 63 + 11 = 74
5, 11, 17, 23, 29
nth term = 5 +8n
To find the nth term of the sequence 5, 15, 29, 47, 69, we first determine the differences between consecutive terms: 10, 14, 18, and 22. The second differences are constant at 4, indicating that the nth term is a quadratic function. By fitting the quadratic formula ( an^2 + bn + c ) to the sequence, we find that the nth term is ( 2n^2 + 3n ). Thus, the nth term of the sequence is ( 2n^2 + 3n ).
n + 6 * * * * * I suggest you try t(n) = 6n + 5 instead.