標題:
geometric progression
發問:
1. the kth term of a GP is 2(3^k), what is the 4th term2. compare the following two saving products launched by ABC bank and XYZ bank.ABC Bankdeposit $1000 on the first day of each month for 1 month. interest is compounded monthly at a rate 1% per month for 1 year.XYZ Bankdeposit $6000 on the 1 Jan and 1... 顯示更多 1. the kth term of a GP is 2(3^k), what is the 4th term 2. compare the following two saving products launched by ABC bank and XYZ bank. ABC Bank deposit $1000 on the first day of each month for 1 month. interest is compounded monthly at a rate 1% per month for 1 year. XYZ Bank deposit $6000 on the 1 Jan and 1 Jul. interest is compounded half-yearly at a rate 12% p.a. for 1 year.
最佳解答:
1. the kth term of a GP is 2(3^k), what is the 4th term the 4th term is 2(3^4)=2(81)=162 2. compare the following two saving products launched by ABC bank and XYZ bank. ABC Bank deposit $1000 on the first day of each month for 1 month. interest is compounded monthly at a rate 1% per month for 1 year. 1000(1+1%)^12+1000(1+1%)^11+...+1000(1+1%) =1000(1.01)(1+1.01^2+...+1.01^11) =1010(1.01^12-1)/(1.01-1) =101000(1.01^12-1) =12809.3 XYZ Bank deposit $6000 on the 1 Jan and 1 Jul. interest is compounded half-yearly at a rate 12% p.a. for 1 year. 6000(1+6%)^2+6000(1+6%) =6000(1.06)(1+1.06) =13101.6
geometric progression
發問:
1. the kth term of a GP is 2(3^k), what is the 4th term2. compare the following two saving products launched by ABC bank and XYZ bank.ABC Bankdeposit $1000 on the first day of each month for 1 month. interest is compounded monthly at a rate 1% per month for 1 year.XYZ Bankdeposit $6000 on the 1 Jan and 1... 顯示更多 1. the kth term of a GP is 2(3^k), what is the 4th term 2. compare the following two saving products launched by ABC bank and XYZ bank. ABC Bank deposit $1000 on the first day of each month for 1 month. interest is compounded monthly at a rate 1% per month for 1 year. XYZ Bank deposit $6000 on the 1 Jan and 1 Jul. interest is compounded half-yearly at a rate 12% p.a. for 1 year.
最佳解答:
1. the kth term of a GP is 2(3^k), what is the 4th term the 4th term is 2(3^4)=2(81)=162 2. compare the following two saving products launched by ABC bank and XYZ bank. ABC Bank deposit $1000 on the first day of each month for 1 month. interest is compounded monthly at a rate 1% per month for 1 year. 1000(1+1%)^12+1000(1+1%)^11+...+1000(1+1%) =1000(1.01)(1+1.01^2+...+1.01^11) =1010(1.01^12-1)/(1.01-1) =101000(1.01^12-1) =12809.3 XYZ Bank deposit $6000 on the 1 Jan and 1 Jul. interest is compounded half-yearly at a rate 12% p.a. for 1 year. 6000(1+6%)^2+6000(1+6%) =6000(1.06)(1+1.06) =13101.6
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