Kenneth G. answered • 02/10/14

Experienced Tutor of Mathematics and Statistics

_{0},

^{th}term in the sequence S

_{m}is given by the formula

_{m}= (2

^{(m - 2[m/2])})∑

_{[i≥0, i≤[m/2])}2

^{i}

^{3}+2

^{2}+2

^{1}+2

^{0}) = 30;

^{5}+2

^{4}+2

^{3}+2

^{2}+2

^{1}+2

^{0)}= 63

^{([m/2]+1)}-1, so we could rewrite the formula as

_{m}= (2

^{(m - 2[m/2])})*(2

^{([m/2]+1)}-1)

^{th}term requested in the problem, since we defined the first term in the sequence to be S

_{0}, would be S

_{2009}

_{2009}= 2*(2

^{1005}-1) = 2

^{1006}-2

Kenneth G.

02/10/14

James A.

02/10/14

Ryan S.

02/10/14

James A.

02/10/14

Kenneth G.

02/10/14

Ryan S.

02/10/14

Kenneth G.

02/10/14

Kenneth G.

^{1006}= 2

^{1004}*2

^{4}, and 1004/4 = 251. This means that 2

^{1006}ends in the digit 4, which means that the Wolfram answer ends with the correct digit.

02/10/14

Ryan S.

02/10/14