What is the next number in the pattern 1,5,14,30...?

1^2 = 1

1^2 + 2^2 = 5

1^2 + 2^2 + 3^2 = 14

1^2 + 2^2 + 3^2 + 4^2 = 30

1^2 + 2^2 + 3^2 + 4^2 + 5^2 = 55

1 5 14 30

It's 55.

The pattern is where it adds a perfect square every time. [Perfect square are: 1, 4, 9, 16, 25, 36, 49..etc..]

So it starts:

0+1=1

1+4=5

5+9=14

14+16=30

30+25=55

55+36=91

I think the next number is 55. The pattern is like this

1 plus 2 squared (4) = 5

5 plus 3 squared (9) = 14

14 plus 4 squared (16) = 30

therefore

30 plus 5 squared (25) = 55

and the next number would be 55 plus 6 squared, etc. etc.

Hope that makes sense.

It's adding by the perfect squares 4, 9, 16, 25 next so 30+25=55

55

you add the next perfect square to the number in series..

1 + (2^2) = 5

5 + (3^2) = 14

14 + (4^2) = 30

30 + (5^2) = 55

55

-a million/2, -4/2, -9/2, -sixteen/2, .. the subsequent term is -25/2 As you will discover, the numerator is the unmarried this is changing. it is the sq. of the subsequent term. -(a million^2)/2 = -a million/2 -(2^2)/2 = -4/2 -(3^2)/2 = -9/2 -(4^2)/2 = -sixteen/2 -(5^2) = -25/2 So the trend is tn = -(n^2)/2

44

I think Gigi88 has it right.