Write an expression for the most apparent nth term of the sequence. Assume that n begins with 1. 3,7,11,15,19...can someone please tell me if I'm correct? 3,7,11,15,19...= 4n - 1...
Write an expression for the most apparent nth term of the sequence. Assume that n begins with 1.
3,7,11,15,19...
can someone please tell me if I'm correct?
3,7,11,15,19...
= 4n - 1
1/3,2/9,4/27,8/81,...
(1^(n - 1))/3^n
1 Answer
1) Your first answer is correct.
You have an arithmetic sequence with the common difference 4, and first term 3.
`a_n=3+(n-1)*4=>a_n=3+4n-4=4n-1`
2) Your answer is incorrect.
we notice that the numerators are 1,2,4,8,... in other words 2^0,2^1,2^2,2^3,... Thus the nth term should have numerator 2^(n-1). You got the denominator part correct.
Hence `a_n=(2^(n-1))/(3^n)`