Question

1. दी गई श्रृंखला में अगली संख्या ज्ञात करें।
2, 10, 84, ?
(a) 1032
(b) 1124
(C)1229
(d) 1028​

Answer 1

Given : 2, 10, 84, ?

To Find : श्रृंखला में अगली संख्या

Next number in the sequence

Solution:

2  = 1² + 1

10 = 2³ + 2

84 = 3⁴ + 3

so next number will be

4⁵  + 4

= 1024 + 4

= 1028

Hence next number in sequence is 1028

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)

4(4⁴ + 1)  = 4( 256 + 1)

= 4(257)

= 1028

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