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

Question

FIND THE NEXT NUMBER IN THE SEQUENCE.

4, 9, 16, 25,

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Vivian 1 week 2021-09-09T14:47:26+00:00 1 Answer 0

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    2021-09-09T14:49:20+00:00

    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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