Question

16.
1, 2, 6, 33, 49, 174, 210?
41) 553 (2) 259 (3) 426
(4) 274 (5) None of these​

Answer 1

553

Step-by-step explanation:

1,2,6,33,49,174,210

Here 2 - 1 = 1= $1^3$, $6 - 2=4 = 2^2,33-6 = 27= 3^3, 49 - 33 = 16 = 4^2, 174 - 49 = 125= 5^3,$,210 - 174 = 36= $6^2$

In the above series two alternate series are given,

One is cube of numbers,Second is square of numbers.

So, the next number = 210+ $7^3$

                                  = 210 + 343

                                  = 553

       

Answer 2

The correct option is 1) 553.

Step-by-step explanation:

Consider the provided series.

We need to find the next number.

Observe the pattern.

2 - 1 = 1 = 1³

6 - 2 = 4 = 2²

33 - 6 = 27 = 3³

49 - 33 = 16 = 4²

174 - 49 = 125 = 5³

210 - 174 = 36 = 6²

Similarly next difference should be 7³

As we know 7³ = 343

Now add 343 to the last number.

210 + 343 = 553

Hence, the correct option is 1) 553.

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