1) In the geometric sequence 12, 4, 4/3, ..., 4/243. Find the number of terms. a) 8 b) 7 c) 9 d) 6 2) x-2k, 2x-4k, 4x-8k, 8x-16k, ... is geometric sequence , find the common ratio. a) 2 b) 1/2 c) 4 d) 1/4 3) Find the sum of the first 5 terms of the sequence: 3, 6,12, ... a) 93 b) 72 c) 81 d) 96 4) Harry has purchased 20 books. The 1st book costs 1 dollar, the 2nd, 2 dollars, the 3rd, 4 dollars, and the 4th, and so on. How much did Harry pay for the 20 books? a) 524782 b) 524287 c) 1084757 d) 1048575 5) What is the 10th term of the geometric sequence 1, 2, 4, 8, ... ? a) 512 b) 256 c) 1024 d) 625 6) Find the 10th term of a geometric sequence if a = 45 and the common ratio r = 0.2. a) 2.304x10-5 b) 2.7648x10-5 c) 5.5296x10-6 d) 4.608x10-6 7) Find the number of terms in the geometric sequence 6,12, 24, ...,1536. a) 10 b) 9 c) 8 d) 11 8) Find the sum of the infinite geometric series 64+32+16+8+⋯ a) 256 b) 512 c) 1024 d) 128 9) Given that (10p+58), (7p+1), (2p+2) are three consecutive terms of a geometric sequence with a common ratio is 1/3. Find the value of p. a) 5 b) 11 c) 10 d) 6 10) The first term and the sum to infinity of a geometric sequence are 5 and 15 respectively. Find the common ratio. a) 2/3 b) 3/2 c) 1/2 d) 2

Geometric Sequence (Matriculation)

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