Consecutive numbers of an arithmetic have a common difference between them, that is ...
y - 3.6 = 8.2-y
2y = 11.8
y = 5.9
y must be "average" of the two other numbers
y = (3.6+8.2)/2 = 5.9
You sure went about it the long way.
For splacing 3 evenly spaced numbers between -2 and 10
-2, -, -, -, 10
then -2 must be the first term or a = -2
10 is th 5th term
term(5) = a + 4d
Again, your answer is correct
given: fifth term is 5 ---> a+4d = 5
4th term is 17 ----> a+3d = 17
subtract the two equations
d = -12
then in a+3d = 17
a + 3(-12) = 17
a= 17 + 36 = 53
term(10) = a+9d = 53 + 9(-12) = -55
if a=53, d = -12, the first few terms are
53 41 29 17 5 ...
our answer is correct
Thank you so much Reiny!!
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