1) On the first swing, the length of the arc through which a pendulum swings is20dm. The length of each successive swing is 4/5 of the preceding swing. What is the total distance the pendulum has traveled during t a) 1000dm b) 100dm c) 10dm d) 1dm 2) Find the sum of the first 7 terms of the geometric sequence: 3, 9, 27, 81,… a) 210 b) 310 c) 410 d) 510 3) What distance will a golf ball travel if it is dropped from a height of 72 dm, and if, after each fall, it rebounds 2/3 of the distance it fell? tance it fell? a) 360dm b) 560dm c) 760dm d) 960dm 4) What is the sum of the first 30 terms of 1, 1/2,1/4,1/8 ? a) 5/4 b) 6/4 c) 7/4 d) 8/4 5) . Find the sum of the first 4 terms of the geometric series: 1 + 10 + 100 + 1000 +… a) 111 b) 1111 c) 11111 d) 111111 6) Find the sum of the first 7 terms of the geometric sequence: 3, 9, 27, 81,… a) 3279 b) 2793 c) 7293 d) 9372 7) Find the sum to infinity of the geometric progressions 12, 4, 3/4 ,… a)  18 b) 19 c) 20 d) 21 8) Write 0.555… repeating decimals as an equivalent fraction. a)  9/5 b) 10/5 c) 5/10 d) 5/9 9) Find the sum to infinity of the following geometric sequences. 3, 3/3 , 3/4 ,… a) 2 b) 4 c) 6 d) 8 10) A particular substance decays in such a way that it loses half its weight each day. If initially there are 256 grams of the substance, how much is left after10 days?   a)  1024/23 b) 24/1023 c) 1023/24 d) 23/1024

GEOMETRIC SEQUENCE

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النمط البصري

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