8.1+due+1-28

2, 4, 6, 10

Done by Alyssa Sturgis -the last one is cut off, reduced it should be 5/3

I got the same answers. Checked by Mady Smith

Peter Radecki #12,18,20,22 12) an= (1+(-1)^n)/2n (1+(-1)(1))/2(1) (1+(-1)(2))/2(2) (1+(-1)(3))/2(3) (1+(-1)(4))/2(4)  (1-1)/2 (1+1)/4 (1-1)/6 (1+1)/8  0/2 2/4 0/6 2/8  0 ½ 0 ¼  (1+(-1)(5))/2(5)  1-1/10  0/10  0  18)an=(-1)n(n/(n+1)) (-1)1(1/(1+1)) (-1)2(2/(2+1)) (-1)3(3/(3+1)) (-1)4(4/(4+1)) -1(1/2) 1(2/3) -1(3/4) 1(4/5)  -1/2 2/3 -3/4 4/5  (-1)5(5/(5+1))  -1(5/6)  -5/6  20) an=n(n-1)(n-2)  1(1-1)(1-2) 2(2-1)(2-2) 3(3-1)(3-2) 4(4-1)(4-2) 5(5-1)(5-2)  1(0)(-1) 2(1)(0) 3(2)(1) 4(3)(2) 5(4)(3)  0 0 6 24 60  22) an=(-1)n-1(n(n-1)) A16=? (-1)16-1(16(16-1)) (-1)15(16(15))  (-1)(240)  -240  Good Job Peter! I got the same answers. # 12,18,20,22 Checked by: Valeria Chelala



Done by Valerie Finstad

 * I concur with Ms. Finstad's calcuations. @(^___^)@**
 * Checked by Blake Schreiber**
 * 40. 3, 7, 11, 15, 19... =4n-1**
 * 42. 1, 1/4, 1/9, 1/16, 1/25...=n^-2**
 * 44. 2/1, 3/3, 4/5, 5/7, 6/9...=(n+1)/ (n+(n-1))**
 * I looked for a pattern then guessed and checked until it worked for all the terms.**
 * Done by Kelsey Harmon**
 * i got the same answers!**
 * Parker Tennet**

1-1+1/2 2-1+3/4 3-1+7/8 4-1+15/16 5-1+31/32 1- 1 2- (-1) 3- 1 4- (-1) 5- 1
 * 48).**
 * an=(2^n-1)/2^n**
 * 52).**
 * an=(-1)^(n-1)**
 * 54).**
 * a1=15**
 * a(k+1)=ak+3**
 * a2=a1+3=18**
 * a3=a2+3=21**
 * a4=a3+3=24**
 * a5=a4+3=27**
 * 56).**
 * a1=32**
 * a(k+1)=1/2ak**
 * a2=1/2a1=16**
 * a3=1/2a2=8**
 * a4=1/2a3=4**
 * a5=1/2a4=2**
 * Done By Matt Milan ;^D->-<**
 * on 48 i got 1+(2^n-1)/2^n, the rest i got the same answers**
 * checked by:Andrew Kim**

58) the first 5 a^n = n-5

60)
the first 5 :-2a -4,-6,-8, -10,-12

62) (1/2), (1/3), (1/4), (1/5), (1/6) 58,60,62 Done By Daniel Pugliano I think for #58 and 60 the first term in the sequence was supposed to be the number the book gave you... So for #58 the first 5 terms I got were : 25, 20, 15,10, 5... and the equation is an= 30-5n and for #60 the first 5 terms I got were: 14, -28, 56, -112, 224... and the equation is an= -7(-2)^n For #62 after checking the equation using my calculator I got the first 5 terms to be: .500, .167, .042, .008, .001


 * 1) 58-60 Checked by Kamryn Richard

64. an= n^2/(n+1)! first five terms: 0, 1/2, 2/3, 3/8, 2/15 68. 5!/7! = 5!/(5!*6*7) = 1/42 72. (n+2)!/n! = ((n+2)(n+1)n!)/n! = (n+2)(n+1) 74. (2n+2)!/(2n)! = (2n+2)(2n+1)(2n)!/(2n)! = (2n+2)(2n+1)

Done by Jennifer hassell

-Miles Hennington
 * 64,68,72,74 I got the same answers

76)
3(1)-1, 3(2)-1 , 3(3)-1 , 3(4)-1 , 3(5)-1 , 3(6)-1 2 + 5 + 8 + 11 + 14 + 17 57

78) 6+6+6+6+6 30

80) 3(0)^2, 3(1)^2 , 3(2)^2 , 3(3)^2 , 3(4)^2 , 3(5)^2 0 + 3 + 12 + 27 + 48 + 75 165

82) 1/(3), 1/(4) , 1/(5) 1/3 + 1/4 + 1/5 47/60 or .7833

Done by Matt

I agree. - Justin Ivins

(2+1)(2-3)+(3+1)(3-3)+(4+1)(4-3)+(5+1)(5-3) = -3+0+5+12=14

86. (-2^0)+(-2^1)+(-2^2)+(-2^3)+(-2^4) =1-2+4-8+16=11

84 & 86 done by Ellen Barth

88,92,94,96,102

Done by Joon Baek

I got the same thing. Checked by: Michael MacCrory