![]() Write down an expression for the value of the investment after n full years. (2) (Total 6 marks)Ī sum of $ 5000 is invested at a compound interest rate of 6.3 % per annum. (a)Ĭalculate the number of seats in the 20th row. There are 15 seats in the first row, 17 seats in the second row, and each successive row of seats has two more seats in it than the previous row. In an arithmetic sequence u21 = –37 and u4 = –3. ![]() (b) Find the sum of the infinite sequence. Write down the 10th term of the sequence. (a)įind the exact sum of the infinite sequence. ![]() (Total 6 marks)Ĭonsider the arithmetic sequence 2, 5, 8, 11. In an arithmetic sequence, S40 = 1900 and u40 = 106. (2) (Total 5 marks)įind the smallest value of n for which Sn > 40. In an arithmetic series, the first term is –7 and the sum of the first 20 terms is 620. For this value of n, find the sum of the sequence. Given that the nth term of this sequence is 115, find the value of n. The nth term of an arithmetic sequence is given by un = 5 + 2n. (a)įind the sum to infinity of this sequence. The first three terms of an infinite geometric sequence are 32, 16 and 8. Given that un = 516, find the value of n.įor this value of n, find Sn. (2) (Total 6 marks)Īn arithmetic sequence, u1, u2, u3. ![]() (a)įind the number of terms in the sequence. (3)Ĭonsider the arithmetic sequence 3, 9, 15. (a)įind the value of the common difference. In an arithmetic sequence u1 = 7, u20 = 64 and un = 3709. In an arithmetic sequence, u1 = 2 and u3 = 8. Remember to show all necessary reasoning! Separate paper is probably best. ![]()
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