Question

rosie writes down a sequence of numbers. For any positive integer, n, the mean of the first n terms in the sequence is equal to n. Work out the first 5 terms of rosie’s sequence.

Answer 1

Hi,

Explanation:

1,3,5,7,9,...

mean

`(1)/(1) =1\\(1+3)/(2) =2\\(1+3+5)/(3) =3\\(1+3+5+7)/(4) =4\\(1+3+5+7+9)/(5) =5\\\\\\Number\ of\ terms= n \\\\(1+3+5+7...+2*n-1)/(n) \\\\\\=\frac{\frac{n*(2n-1+1) } { 2}} { n}\\\\=n\\`