Question

what is the series of 46,71,120204,322,_ explain it​​

Answer 1

Answer:

which chapter is this !? it's too confusing I also wants to know the anss

Answer 2

The answer is 461 if the question you've asked is right and the answer is 491 if the question you've asked is supposed to be 201 instead of 204.

Let us say the question is actually 46, 71, 120, 201, 322, __

71 - 46 = 25 = 5²

120 - 71 = 49 = 7²

201 - 120 = 81 = 9²

322 - 201 = 121 = 11²

So we have to add the square of the next odd number in the series 5,7,9,11, which is the square of 13.

322 + 169 = 491

Let us say that the question you've asked is right, then

71 - 46 = 25  120 - 71 = 49  204 - 120 = 84  322 - 204 = 118  a - 322 = z

Consider the differences:

25  49  84  118  z

49 - 25 = 24   84 - 49 = 35  118 - 84 = 34  z - 118 = y

Consider these differences now:

24  35  34  y

35 - 24 = 11  34 - 35 = -1  y - 34 = x

Now finally considering these differences:

11  -1  x

-1 - 11 = -12 = x - (-1)

So we should go in reverse order now.

x - (-1) = -12

x = -13

y - 34 = -13

y = -13 + 34 = 21

z - 118 = 21

z = 139

a - 322 = 139

a = 461