1. Algebra 1 Functions 5 Evaluate and write geometric sequences Recall: arithmetic sequence t n = t 1 + (n-1)d A sequence is geometric if the ratio “r” of any two consecutive terms is constant. Consider the sequence: {5,15,45,135,405,…} 15/5 = 3, 45/15 = 3, 135/45 = 3 r = 3

2. Determine whether the sequence is arithmetic, geometric, or neither. a.{5,10,15,20,25,30,…} b.{2,6,18,54,162,…} c.{128,64,32,16,…} d. {0,1,8,27,64,125,…} e. {32, 48, 72, 108, 162, …}

3. The general formula for a geometric sequence is: t n = t 1 ·r n-1 Find the general formula for the sequence. Find the 9 th term. {7, 28, 112, 448, 1792, …} Find the general formula for the sequence. Find the 13 th term. {2048, 1024, 512, 256, …}

4. You invest $2000 in a bank account that grows by 3% per year. How much money be in the account after 5 years? ( note: each year the balance in the account is 103% of the previous year.)

5. The population of an ant colony triples every year. If the population is now 8500, how many ants will there be in 7 years?