Answer: The first three terms of the sequence are: 1^2+1=2, 2^2+1=5, 3^2+1=10
The tenth term of the sequence is: 10^2+1=101.
Step-by-step explanation: To find the first three terms of a number sequence in which the nth term is n^2+1:
For the first term, set n equal to 1 and substitute it into the formula: 1^2 + 1 = 2
For the second term, set n equal to 2 and substitute it into the formula: 2^2 + 1 = 5
For the third term, set n equal to 3 and substitute it into the formula: 3^2 + 1 = 10
To find the tenth term of the same sequence, set n equal to 10 and substitute it into the formula: 10^2 + 1 = 101.