⎧ a(1)=−2 a(n)=a(n−1)−5 Find the 4^{\text{th}}4 th 4, start superscript, start text, t, h, end text, end superscript term in the sequence.

  -17

Step-by-step explanation:

When the sequence is defined recursively, it is often easiest just to evaluate the next term from the previous one. Here, each term is 5 less than the previous, so the first terms are ...

  -2, -7, -12. -17, ...

The 4th term is -17.