How do you write the rule for the nth term given #1/20,2/30,3/40,4/50,...#?

1 Answer
Aug 12, 2016

Answer:

#T_n = n/(10(n+1))or n/(10n +10)#

Explanation:

When trying to find the rule for the #nth# term, it is useful to write the numbers for #n, "ie"1, 2, 3, 4, ...# above or below the terms of the sequence.

Then compare the numbers in the term with #n# and look for a pattern.

In this sequence:

#1/20,2/30,3/40,4/50,... (larr"numerator the same as " n)/(larr"denominator same as 10 x (n+1)"#

#1," " 2," " 3," " 4#

So write that in terms of #n#

#T_n = n/(10(n+1))or n/(10n +10)#