Each year, the price of an electric equipment increase by 5% of its price in the previous year. Given that the price of the electric instrument is RM800 at the beginning. State its price after n years, in terms of n. Hence, find the price after 10 years, to the nearest ringgit.
每年电子设备的价格会比前一年的价格增加5%。已知开始时电子仪器是RM800. 以n表示，n 年后的价钱。据此，求10年后的价钱，答案准确至令吉
如右图所示一三角形ABC 其中 B 为直角, 角 ACB = β 和 BC = a. 点 D 是从B 到 AC的垂足, 以此类推来定义 E 和 F.
(a) State angle ABD in terms of β.
(b) State BD and DE in terms of a and β.
以a 和 β表示BD 和DE。
(c) Show that the lengths of CB, BD, DE are in geometric progression.
证明CB, BD, DE的长度成等比。
(b) a sinβ, a sinβ
A circle with radius 10cm is divided into 4 sectors where the areas of the sectors are in geometric progression. Given that the area of the largest sector is 8 times of the area of the smallest sector, find the area of the largest sector.
In an G.P. if the sum of the first six terms is nine time of the sum of first three terms, find the common ratio.
In 1960 a man earned RM2000 and spent it all. During the next 10 years his salary increased by 5% per annum (compound interest|), but inflation caused his expenditure to rise by 4% per annum (compound interest). Find how much he had saved by the end of 1970, giving your answer to two significant figures.
在1960年某人赚RM2000并花完了。接下来的10年他的薪水每年增加5%(复利计算), 但通货膨胀造成他每年的开销每年增加4%(复利计算). 请问到1970年尾他可以存多少钱，答案用两位有效数字表示。
If a, b, c are in G. P., prove that in A. P.
若a, b, c 成等比数列, 试证 成等差数列。