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Chapter 11 Quiz 2016 Name_______________________________ Name_______________________________ Name_______________________________ ___________________1) Find t19 for the arithmetic sequence -4, -1.5, 1, 3.5, … ___________________2) In the arithmetic sequence with t1 = 88 and d = -5, what term number is 13? ____________________3) Insert two arithmetic means between -2 and 13 ____________________4) Find t8 for the geometric sequence 11, -22, 44, -88, ... ____________________5) Find the first term of the geometric sequence if t5 = 512 and r = 4 _____________________6) Find 3 geometric means over complex numbers between 7 and 112. _____________________ _____________________ _____________________ _____________________7) 28,697,814 is what term number in the geometric sequence 2, 6, 18,... _____________________8) Write the series 47 + 41 + 35 + … 5 using sigma notation. ____________________9) Find S20 for the series 53 + 46 + 39 + 32 + … 5 ____________________10) Evaluate 23 k 1 k 1 #11 & 12 Determine whether or not the geometric series converges. If so find the value to which it converges. ____________________11) 64 + 48 + 36 + 27 + … ____________________12) t1 = 42 and r = 5 7 13) Calvin and Phoebe start walking at the same time from the same point and in the same direction. Phoebe starts with a 12 inch step and increases her stride by ½ inch each step. She goes 21 steps, then stops. Calvin starts with a 36 inch step and each subsequent step is 90% as long as the preceding one. a)_______________ a) What kind of sequence do Phoebe’s steps follow? b)______________ b) What kind of sequence do Calvin’s steps follow? c)______________ c) How long is Phoebe’s last step? d)______________ d) How long is Calvin’s 21st step? (round to nearest tenth) e) Who:_____________________ By how much:________________ e) After each has taken 21 steps, who is ahead and by how much? Justify your answer. Justify:____________________________ __________________________________ _________________________________14) Expand and simplify (x2 - 2)4 ____________________15) Find the fourth term in the expansion of (x - y2)6 ____________________16) Find the term that contains y3 in (2x + y)12 ___________________17) Simplify: n! (n 2)! 18) Write as a ratio of factorials: 40 39 10 9 8 ___________________18)
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