Find a formula for sn Find a formula for s_n, n greaterthanorequalto.pdf

Find a formula for sn Find a formula for s_n, n greaterthanorequalto 1, if s_n is given by 2/5, 3/8,
4/11, 5/14, 6/17,...
Solution
numerator are in arthematic progression with common difference 1 and first term 2
numerator =1+n
denomiator are in arthematic progression with common difference 3 and first term 5
denominator =5+(n-1)3 =2+3n
sn=(1+n)/(2+3n).

1. Find a formula for sn Find a formula for s_n, n greaterthanorequalto 1, if s_n is given by 2/5, 3/8,
4/11, 5/14, 6/17,...

Solution

numerator are in arthematic progression with common difference 1 and first term 2
numerator =1+n
denomiator are in arthematic progression with common difference 3 and first term 5
denominator =5+(n-1)3 =2+3n
sn=(1+n)/(2+3n)