Nehal7564 Nehal7564
  • 19-05-2021
  • Mathematics
contestada

If a_1=3a 1 ​ =3 and a_n=(a_{n-1})^2+1a n ​ =(a n−1 ​ ) 2 +1 then find the value of a_4a 4 ​ .

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abidemiokin
abidemiokin abidemiokin
  • 20-05-2021

Answer:

a4 = 10,202

Step-by-step explanation:

Given the following

a1 = 3

an = (an-1)² + 1

Required

a4

a2 = a1² + 1

a2 = 3² + 1

a2 = 10

a3 = a2² + 1

a3 = 10² + 1

a3 = 100+1

a3 = 101

a4 = a3² + 1

a4 = 101² + 1

a4 = 10,201 + 1

a4 = 10,202

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