Answer :
18.5 isn't a whole number which implies 1966 is not an Olympic year.
What is Arithmetic Progression?
An arithmetic progression is a set of integers with a fixed difference between any two succeeding numbers (A.P.). 3,6,9,12,15,18, and 21 are A.P. examples.
A sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, etc. is an arithmetic sequence. The common difference of the sequence is d, and the number an is the first term. An arithmetic sequence's nth term is determined by the formula [tex]a_n[/tex] = a + (n - 1)d.
Given:
a= 1896
d= 4
[tex]a_n[/tex] = 1966
So, 1966= 1896 + (n-1)4
1966=1896+4n-4
1966=1892+4n
subtract 1892 from both sides
1966- 1892= 1892+ 4n- 1892
74 = 4n
divide 4 from each side
74/4 = 18.5
18.5 = n
Hence, 18.5 isn't a whole number which implies 1966 is not an Olympic year.
Learn more about Arithmetic progression here:
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