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3 years ago

FIND THE NEXT NUMBER IN THE SEQUENCE. 4, 9, 16, 25,

Mathematics

1 answer:

Norma-Jean [14]3 years ago

6 0

Answer:

The next number in the sequence is 36.

Step-by-step explanation:

Consider the provided sequence.

4, 9, 16, 25

The number 4 can be written as 2².

The number 9 can be written as 3².

The number 16 can be written as 4².

The number 25 can be written as 5².

The general term of the sequence is: $a_n=(n+1)^2$

Thus, the next term will be:

$a_5=(5+1)^2$

$a_5=(6)^2$

$a_5=36$

Therefore, the next number in the sequence is 36.

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