CPhill

A = 10    B = 11

E = 14

2 (12)^3  + 10  (12)^2  + 3( 12 ) + 1  = 4933

14 * 12  + 2 =  169

4933 + 169  = 5102

5102 / 12  = 425 R 2

425 / 12 = 35 R 5

35 /12  = 2 R 11

2/12 = 0 R 2

2B52₁₂

11₂  =  3

10101₂ = 21

11₂ = 3

1100101₂  = 101

1001₂ = 9

1001101₂  = 77 

3 + 21 + 3 + 101 + 9 + 77  = 214

214 / 2  =  107 R 0

107 / 2  = 53 R 1

53  / 2 = 26 R 1

26 / 2 = 13 R 0

13 / 2  = 6 R 1

6  / 2  = 3 R 0

3 / 2 = 1  R 1

1 / 2   = 0 R 1

11010110₂

https://web2.0calc.com/questions/help-meee_22

https://web2.0calc.com/questions/sum_93

https://web2.0calc.com/questions/circles_147

A =10     E  =  14

B  =11    F   = 15

10 * 16^3  + 7 * 16^2  + 1 * 16 + 0   = 42768

5 * 16 + 1  =  81

11* 16^3  + 8 * 16^2  + 10 * 16 + 14  = 47278

42768 + 81 + 47278 = 90127

90127 / 16  = 5632 R 15

5632 / 16  = 352 R 0

352  /16  = 22 R 0

22/16  = 1 R 6

1/16  = 0 R 1

1600F₁₆

Let the first term  = 2

Let the last term =  2 + 5(n-1)  =  5n - 3

Sum  =  [ 2 + 5n -3 ] [n/2]  > 100

[ 5n - 1 ] [ n ] > 200

5n^2 - n > 200

5n^2  - n - 200 > 0

Set this = 0

5n^2 - n -200 =  0

n ≈ 6.4253

n = ceiling [ 6.4253 ]  =  7

The 7th term produces the scream  =  5(7) - 3  =  32

2,  7,   12,  17,   22 ,   27 ,  32

Sum  9    21   38    60     87     119

2(3)^2 + 2(3) + 1 =  25

1(3)^2  + 2(3) + 2 =  17

2(3)^2 + 0 (3) + 2  = 20

1(3)^2 + 1(3) + 0  = 12

25 + 17 + 20 + 12 =   74

74 / 3  =  24 R 2

24 / 3  = 8 R 0

8 /3  =  2 R 2

2/3  = 0 R 2

2202₃

3(8)^2 + 5(8) + 7   = 239

2(8)^2  + 2(8) + 3 = 147

1(8) + 1  =  9

239 * 147  * 9   =  316197

316197 / 8  = 39524 R 5

39524 / 8  =  4940 R 4

4940 / 8  = 617 R 4

617 / 8  = 77 R 1

77/8  = 9 R 5

9 /8  =1 R1

1/8  = 0 R 1

1151445₈

90₁₁  =  9 (11) + 0 = 99

So

B  = 11