Answer:
The 100th term i 1163
Step-by-step explanation:
From -25 to -13 is a positive jump of 12, and
from -13 to 1 is a positive jump of 14, and
from 1 to 11 is a positive jump of 10
So there's something wrong with the given sequence Let's assume that the sequence is actually -25, -13, -1, 11. There's always a positive jump of 12 from one term to the following term.
Regard this as an arithmetic sequence with first term -25 and common difference (d) = 12.
Then the general formula for this sequence is a(n) = a(1) + d(n - 1). For the given situation, it becomes a(n) = -25 + 12(n - 1), and for a(100) we have
a(100) = -25 + 12(100 - 1), or
a(1000 = -25 + 12(99) = 1163
The 100th term is 1163
