Question

Write the first three terms in the sequences defined by the following

a_n = n²  + 1

Answer 1

We have,

a_n = n² + 1

Putting n = 1, 2, and 3 we get

a₁ = 12 + 1 = 1 + 1 = 2

a₂ = 22 + 1 = 4 + 1 = 5

a₃ = 32 + 1 = 9 + 1 = 10

Thus, the first three terms of the sequence defined by a_n = n² + 1 are 2, 5 and 10.