Question

write the sequence got by adding 1 to the square of consecutive natural numbers starting from 1​

Answer 1

Given : sequence got by adding 1 to the square of consecutive natural numbers starting from 1​

To Find :  the sequence

Solution:

adding 1 to the square of consecutive natural numbers starting from 1​

Tₙ = n² + 1

n = 1

=> T₁= 1² + 1  = 2

n = 2

=> T₂= 2² + 1  = 5

n = 3

=> T₃= 3² + 1  = 10

n = 4

=> T₄= 4² + 1  = 17

n = 5

=> T₅= 5² + 1  = 26

n = 6

=> T₆= 6² + 1  = 37

Hence sequence is

2 ,  5  , 10 , 17  ,  26 , 37  and so on

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