PLEASE HELP with SEQUENCES!! Determine whether the sequence is increasing, decreasing, or not monotonic.

Question

Determine whether the sequence is increasing, decreasing, or not monotonic.

 

a_n = 4n(−7)ⁿ

 

Is the sequence bounded? Yes or No? Explain.

Answer 1

You need to choose values of n = 1, 2, 23, etc. and compute the terms of this sequence, in order.

 

Then look at them and observe!  It should be obvious that successive terms alternate in sign.  Then check what the definition of MONOTONIC is, to determine whether this is non-monotonic.  You can do lt!