Question

Complete the following number series.
17, 33, 70, 131, 278 ?
581
531
541
ОО
575​

Answer 1

Answer: CORRECT ANSWER IS '531'.

Step-by-step explanation:

Answer 2

Given :   17, 33, 70, 131, 278  ?

To find : Missing Number

Solution:

17

17 * 2  -   1²    = 33

33 * 2   + 2²   =  70

70 * 2  - 3²  =  131

131 *2  + 4²  = 278

278 * 2 - 5²  = 556 - 25  = 531

531 will come at place of  ?

Logic is multiply  the last number by 2    and alternately  subtract add (n-1)²

Tₙ₊₁ =  2 * Tₙ  ± n²      T₁  = 17    

or

Tₙ₊₁ =  2 * Tₙ   -  n²       if  n is odd

Tₙ₊₁ =  2 * Tₙ   +  n²      if  n is even

or

Tₙ₊₁ =  2 * Tₙ  +  (-1)ⁿ n²      T₁  = 17  

531 is the answer

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