My geometric sequence is 16,-3.2,0.64,-0.128 ... what is the 7th term

Step-by-step explanation:

In a geometric sequence, the nth term is

T_n = ar^ (n-1)

a = first term

r = common ratio which can be gotten by dividing second term by first term, third term by second term etc

Therefore

a = 16

r = - 3.2 : 16

r = - 0.2

T_7 = ar^ (7-1)

T_7 = ar^6

T_7 = 16[ (-0.2) ^6]

T_7 = 16 (0.000064)

T_7 = 0.001024