color(blue)("Investigation the relationships")
19-15 =4
23-19=4
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color(blue)("Building the equation")
So 1^("st")" term is "15+0
and 2^("nd")" term is "15+4
and3^("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
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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))