Q: What is the next term in the sequence 1 4 9 16.?

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1. Each term is half the previous term.

Final sequence:- 1,4,9,16,25,36,49,64,81,100,121,144,169,196… This is a pattern of square numbers. 1^2=1, 2^2=2, 3^2=9, 4^2=16, and 5^2=25. The next number would be 36 because 6^2 equals 36.

The sequence is a geometric progression.Here, first term(a) = 1 and common multiple(r) = 4.nth term of G.P. is given by an = arn-1If we put n = 5, then a5 = 1x44 = 256.So next term in the sequence is 256.

multiply the previos term by 4, you'll get 256x4

If the first two numbers are 0, 1 or -1 (not both zero) then you get an alternating Fibonacci sequence.

2, 1, 0.5 Half the term each time.

The differences are not the same so the sequence is not arithmetic. The sequence starts with a zero, so it cannot be geometric, or an exponential (power) sequence. The quartic: (2n4 - 19n3 + 64n2 - 83n + 36)/6 fits the 5 points. That gives the next term as 55.

The general term a(n) of the sequence is: a(n) = a(n - 1) * (n - 1), if n is even a(n) = a(n - 1) + (n - 1), if n is odd and a(1) = 2, of course. So the next term in the sequence would be 86 a(7) = a(6) + 6 = 80 + 6 = 86

g

81

While there are not enough numbers to fully clarify the nth term of the sequence, according to the sequence so far it appears that the nth term is equal to n4. Therefore, the next number will equal 44 = 256

16 is the next squared number.

-1.

The next term in the sequence (not the next sequence) is 76.It is obtained by using n= 6 int(n) = (29n4 - 338n3 + 1363n2 - 2158n + 1128)/24 for n = 1, 2, 3, etc

The answer is: 1,4,9,16,25,36 and so on.

16

This is a sequence of perfect squares. 12=1, 22=4, 32=9, 42=16, 52=25. The next number is 62=36.

The nth term of a arithmetic sequence is given by: a{n} = a{1} + (n - 1)d → a{5} = a{1} + (5 - 1) × 3 → a{5} = 4 + 4 × 3 = 16.

n2

3

16

The next number in the sequence is... 64

possibly 16

16

1, 16, 81, 256 14641 is the 11th term.

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