Question

reasoning question 5,12,23,50,141,?

Answer 1

Answer : $\bold{488}$


$\bold{Explanation :}$

Given :

series = 5, 12, 23, 50, 141, ?


Finding the difference of the given sequence-

12 - 5 = 7

23 - 12 = 11

50 - 23 = 27

141 - 50 = 91

Now, series is 7, 11, 27, 91, ?

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Subtracting previous term -

11 - 7 = 4

27 - 11 = 16

91 - 27 = 64

Now, series is 4, 16, 64, ?

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Multiplying with "4" -

4 x 4 = 16

16 x 4 = 64



Hence :

First multiply with "4" then add "91" and then add "141" -

64 x 4 = 256

256 + 91 = 347

347 + 141 = 488


$\bold{Answer : 488}$

Answer 2

Answer:

488

Step-by-step explanation:

Number series = 5,12,23,50,141

Find the two level of difference:

5  ............... 12 ...............  23............... 50............... 141............... (488)

       +7 ............... + 11 ............... +27  ............... + 91............... (+347)

               +4 ............... +16 ............... +64 ............... (+256)

                (4¹) ........... (4²)  ............  (4³) ...............  (4⁴)    

The second difference is a consistent pattern of  4ⁿ:

⇒ Following 4³, the next difference will be 4⁴, which is 256

Find the number:

Step 1: The second difference is 4⁴ = 256

Step 2: The first difference is 256 + 91 = 347

Step 3: The number we are looking for is 347 + 141 = 488

Answer: The missing number is 488