Activity 1: It nth that hard! Find the nth term that is asked in the following geometric sequence. Show your correct and exact solution
1.) 4, 12, 36, ... find a8
2.) 1, 7, 49, ... find a5
3.) 1/2, 4, 32, ... find a4
4.) 64, 32, 16, ... find a6
5.) 7, 35, 175, ... find a5
nonsense: report
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Answer:
1. 8748
2. 2401
3. 256
4. 2
5. 4375
Step-by-step explanation:
1. Divide 2nd term to the 1st term. 12 ÷ 4 = 3. Then multiply the 2nd term to the quotient which is 3. 12 × 3 = 36. Again, divide the 3rd term to the 2nd term. 36 ÷ 12 = 3. Then multiply the 3rd term to the quotient which is 36 × 3 = 108. Then just multiply the next term to the quotient you got. Repeat the formula. Until you get the nth term you need.
r = 12/4 = 3
r = 36/12 = 3
r = 108/36 = 3
r = 324/108 = 3
r = 972/324 = 3
r = 2916/972 = 3
r = 8748