pastelblossomyt
pastelblossomyt pastelblossomyt
  • 26-03-2020
  • Mathematics
contestada

A sequence is formed by adding 1 to each square number.
Here are the first five terms of the sequence.
2 5 10 17 26
1025 is a term of this sequence.
Which term?​

Respuesta :

jimrgrant1 jimrgrant1
  • 26-03-2020

Answer:

32 nd term

Step-by-step explanation:

The formula for the sequence is

n² + 1 ( that is 1 added to each square number )

Equate to 1025 and solve for n

n² + 1 = 1025 ( subtract 1 from each side )

n² = 1024 ( take the square root of both sides )

n = [tex]\sqrt{1024}[/tex] = 32

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