Write the sequence got by adding one to the square of consecutive natural numbers starting from 1
Answers
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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Step-by-step explanation:
As soon as they reached the shore, Pinocchio was the first to jump to the ground to help his old father. Then he turned to the fish and said to him: "Dear friend, you have saved my father, and I have not enough words with which to thank you!