Answer:
100th term = 962
Step-by-step explanation:
You need to find the first term of the sequence
The formula to use is
[tex]a_{n} = a_{1} + (n - 1)d[/tex] In your problem, n = 14. So,
[tex]102 = a_{1} + (14 - 1)10\\102 = a_{1} + 130\\a_{1} = -28\\\\[/tex]
Now you can find the 100th term. n = 100, first term = -28 and d = 10
[tex]a_{100} = -28 + (100 - 1)10\\ = -28 + 990\\ = 962[/tex]
100th term = 962
