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26 votes
26 votes
Find a formula for the nth term of the sequence that begins 14.5, 16, 17.5, 19, 20.5 …. Assume that the first term corresponds to n=1.

F An=14.5+1.5(n-1)
G An=1.5+14.5(n-1)
H An=1.5+14.5n
J An=14.5+1.5n

User Lamel
by
2.9k points

1 Answer

17 votes
17 votes

Answer: F

Explanation:

You can figure this out by plugging in the values of n for each expression and seeing which one gives you the given sequence.

Starting off with F
A(n) = 14.5 + 1.5(n-1)

A(1) = 14.5 + 1.5(1-1) --> 14.5 + 1.5(0) = 14.5

A(2) = 14.5 + 1.5(2-1) --> 14.5 + 1.5(1) = 16

A(3) = 14.5 + 1.5(3-1) --> 14.5 + 1.5(2) = 17.5

You can put in the remaining values of n if you want, but you should be able to notice that A(n) increases by 1.5 each term which follows the given sequence.

while J looks similar, it starts its sequence at 16 instead of 14.5 as it doesnt subtract 1 from n.

User MOnsDaR
by
3.2k points
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