Answer:
-36.25
Step-by-step explanation:
5.75 - 1 2 (20 ÷ 2.5) ÷ 2 + 6
5.75 - 1 2 (8) ÷ 2 + 6
5.75 - 96 ÷ 2 + 6
5.75 - 48 + 6
= -36.25
C. Euclid is known as the father of Geometry
Your sequence
-8, 16/3, -32/9, 64/27
is a geometric sequence with first term -8 and common ratio
(16/3)/(-8) = (-32/9)/(16/3) = -2/3
The general term an of a geometric sequence with first term a1 and ratio r is given by
an = a1·r^(n-1)
For your sequence, this is
an = -8·(-2/3)^(n-1)
