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an+d(n-1)n/2

a=0 d=1 n=200

0200 + (1(200-1)200)/2 (199200)/2 39800/2 19900

k = 0 n = 9 a = 1 r = 2

1(r^n-1)/(r-1) (r^n-1)/(r-1) (2^9-1)/(2-1) (512-1)/1 511

k = 0 n = 10 a = 1 r = 2

1(r^n-1)/(r-1) (r^n-1)/(r-1) (2^10-1)/(2-1) (1024-1)/1 1023

n = 40 k = 0 a = 4 d = 5

an + (d(n-1)n)/2 4*40 + (5(40-1)40)/2 160 + (5(39)40)/2 160 + 7800/2 160 + 3900 4060

n = 40 a = 2 d = 5 k = 0

an + (d(n-1)n)/2 2*40 + (5(40-1)40)/2 80 + (5(39)40)/2 80 + 3900 3980

a = 9 r = 4 k = 0 n = 6

(a(r^n-1))/r-1 (9(4^6 - 1))/(4-1) (9(4096-1))/(3) (9(4095))/3 36855/3 12285

k = 0 n = 16

20+k*3

a = 20 k = 0 d = 3 n = 16

an + (d(n-1)n)/2 20(3) + (3(15)16)/2 60 + 720/2 60 + 360

300 + 25k k = 0 n = 15 d = 25 a = 300

an + (d(n-1)n)/2 (300)(15) + (25(14)(15))/2 4500 + (25)(14)(15) 4500 + 5250/2 4500 + 2625 7125

k = 0 n = 8 a = 200 r = 1.14

200 * 1.14

(a(r^n-1))/(r-1) (200(1.14^8-1))/(1.14-1) (200(2.85258642-1))/(0.14) (200*1.85258642)/0.14 2646.55202857 2647

a = 7 d = 3 j = 0 n = 41

an + (d(n-1)n)/2 7*41 + (3(41-1)41)/2 287 + 4920/2 287 + 2460 2747

a = 4 r = 0.5 k = 0 n = 26

(a(r^n-1))/(r-1) (4(0.5^26-1))/(0.5-1) (4(0.5^26-1))/(-.5) -8(0.5^26-1) 8(1-0.5^26) 7.99999988

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