英文數學題

1)Mr. Jameson deposits $7000 into a high-risk fund at the end of each year for 10 years. If the growth rate is 10% per annum, how much will the high-risk fund be at the end of 10 years? (correct to nearest dollars)

a. $111562 b. $63820 c.$74923 d.$124560

2)Theresa draws a number of cards from a deck several times, and the number of cards drawn forms an arithmetic sequence. She draws 10 times from the deck, and the number of cards drawn in the first, second, third times are 1, 5, 9 respectively. How many cards are drawn at 10th drawn?

a. 38 b. 37 c.35 d. 36

3)The sale of Apple iMAC was 3000 sets in June. The sale is increased by the same quantity d sets each month. If the sale of Apple iMAC in October was 5400sets, find the value of d.

a. 550 b. 600 c. 700 d. 650

4)Tommy’s annual income is $120,000. At the beginning of every year, Tommy deposits one-tenth of his income in ABC Bank at an interest rate of 5% p.a. compounded yearly. Find the total amount accumulated at the end of the fourth year. (correct to nearest dollars)

a. $58934 b. $48375 c. $51722 d. $54308

5)The sum of all the integers between 1 and 200 which are divisible by 16.

a. 928 b. 1208 c. 848 d. 1248

6)The sum to infinity of a geometric series is 4/3. If the first term is 2, find the common ratio.

a. 1 b. –0.25 c. –0.5 d. 0.5
7)How many terms n of the A.S. 51, 48, 45, … must be taken so that the sum is equal to 294?

a. 6 b. 8 c. 5 d. 7

8)Find the general term T(n) of the sequence 19, 26, 33, 40, ….

a. T(n) = 7n – 12 b. T(n) = 12n + 7 c. T(n) = 19 – 7n d. T(n) = 7n + 12

9)The common ratio r of a geometric sequence is 0.5 and the sum of the first fifth terms S(5) is 62. Find the first term a.

a. 33 b. 30 c. 32 d. 31

10)Find the sum to infinity of the geometric series 25 + 20 + 16 + 12.8 + ….

a. 125 b. 120 c. 160 d. 140