#color(blue)("Investigation the relationships")#
#19-15 =4#
#23-19=4#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Building the equation")#
So #1^("st")" term is "15+0#
and #2^("nd")" term is "15+4#
and#3^("rd")" term is "15+8#
So the #n^("th")# term is: #15+4(n-1)#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Determining the "17^("th")" term")#
Thus the #17^("th")# term is #15+4(n-1)" "->" "15+4(17-1)#
#=15+64=79#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)("Introduction to a mathematical way of presenting a sequence")#
Let a term be represented with the letter #a#
So term 1 would be#" "a_1#
and term 1 would be#" "a_2#
and the #n^("th")# term would be #" "a_n#
What you would sometimes see is:
#color(brown)("Let "a_i" be any term from "a_1 " to "a_n#
#color(green)("So your sequence could be " a_i=a_1+4(i-1))#
