24 Jun Rule is ##n^(th)## ordered pair represents ##(n(n+5)^2)## In
Rule is ##n^(th)## ordered pair represents ##(n(n+5)^2)## In the ordered pairs ##(136) (2 49) (364). (4 81)##. and ##(5 100)## it is observed that (i) first number starting from ##1## is in arithmetic series in which every number increases by ##1## i.e. ##d=1## (ii) second number are squares and starting from ##6^2## it goes on to ##7^2## ##8^2## ##9^2## and ##10^2##. Observe that ##{678910}## to increase by ##1##. (iii) Hence while first part of first ordered pair starts from ##1## its second part is ##(1+5)^2## Hence the rule that represents this function is that ##n^(th)## ordered pair represents ##(n(n+5)^2)##
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