+23246 6075 / 4050 = 2/3
4050 / 2700 = 2/3
2700 / 1800 = 2/3
Find 2/3 or 1800 for the next term; then find 2/3rds of that answer for the next term, etc.
+26367 Find the next three terms in the geometric sequence:
6075,4050,2700,1800
\(\text{ratio } r = \frac{4050}{6075} = \frac{2700}{4050} = \frac{1800}{2700} = \frac23\)
\(a_4 = 1800 \\ a_5 = a_4 \cdot r = 1800\cdot \frac23 = 1200 \\ a_6 = a_5 \cdot r = 1200\cdot \frac23 = 800 \\ a_7 = a_6 \cdot r = 800\cdot \frac23 = 533.\bar{3} \\\)
