Question

2,10,84,1028,___ please tell next ​

Answer 1

Given : 2, 10, 84, ,1028, ?

To Find : श्रृंखला में अगली संख्या

Next number in the sequence

Solution:

2  = 1² + 1

10 = 2³ + 2

84 = 3⁴ + 3

1028 = 4⁵  + 4

so next number will be

5⁶  + 5

= 15625 + 5

= 15630

Hence next number in sequence is 15630

Tₙ = nⁿ⁺¹  + n

     n ( nⁿ  + 1)

so it can be shown this way also

2 = 1 ( 1¹ + 1)

10 = 2(2² + 1)

84 =3(3³ + 1)

1028 = 4(4⁴ + 1)

5(5⁵ + 1)

= 5(3125 + 1)

= 15630

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