Question

What are the next three terms 4, 7/4,-1/2,-11/4...

Answer 1

Answer:

{-29/4, -19/2, -47/4}

Step-by-step explanation:

Note that this is a decreasing arith. seq.  Each term is smaller than the previous term, the result of the subtraction of 2 1/4 (equivalent to 9/4).  

The fourth term is -11/4; subtracting 9/4 results in -20/4, or -5.

The fifth term is -20/4; subtracting 9/4 results in -29/4.

The 6th term is -29/4; subtracting 9/4 results in -38/4, or -19/2.

The 7th term is -38/4; subtracting 9/4 results in -47/4.

Thus, the "next three terms" following the first four terms are {-29/4, -19/2, -47/4}