For each geometric sequence, determine the formula for the general term and then write t9. 54, 18, 6 ....
+23254 These are terms in a geometric sequence because: 18/54 = 1/3 and 6/18 = 1/3
The common ratio is 1/3.
To find the nth term, you can use the formula: tn = a·rn-1
[a = first term = 54; r = common ratio = 1/3; n is the number of the term that you want = 9]
---> t9 = 54·(1/3)9-1 = 54·(1/3)8 = 54/6561 = 2/243
+23254 These are terms in a geometric sequence because: 18/54 = 1/3 and 6/18 = 1/3
The common ratio is 1/3.
To find the nth term, you can use the formula: tn = a·rn-1
[a = first term = 54; r = common ratio = 1/3; n is the number of the term that you want = 9]
---> t9 = 54·(1/3)9-1 = 54·(1/3)8 = 54/6561 = 2/243
