The 200th term of the arithmetic progression 10 97,94,91,is

-500

Step-by-step explanation:

Given sequence;

    97, 94, 91

Unknown;

The 200th term of the sequence;

Solution:

Since we were given an arithmetic progression, we need to first find the common difference;

 Common difference  = second term - first term

                                     = 94 - 97  

                                     = -3

To find the 200th term, we use the expression below;

     Sn  = a + (n-1)d

   a is the first term

    n is the nth term

   d is the common difference

 S₂₀₀ = 97 + (200 - 1 ) x -3 = -500