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What is the next number in the arithmetic number sequence 4, 9, 16, 25?
in Mathematics by Diamond (75,914 points) | 21 views

1 Answer

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Best answer

Answer:

36 

Explanation:
Notice that all of the given numbers are square numbers:
$$
4=2^{2}, 9=3^{2}, 16=4^{2}, 25=5^{2}
$$
So it looks like the intended general term of the sequence is:
$$
a_{n}=(n+1)^{2}
$$
which would make the next term $a_{5}=(5+1)^{2}=6^{2}=36$

by Diamond (75,914 points)

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