3 21 4 1 3 21 4649045868 79 ep q 8d79 p f 8 g 9h 9 q

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3- = − 21 4 ;− 1 3 = ,> = 21 4,649,045,868 ࠵?. ࠵? * = 79 EP Q 8D79 P F 8 G 9,H 9 Q F = R6 ,R I7− , 6 8 * − 1J ࠵?. ࠵? ,- = 63 16 T;− 1 3 = ,- − 1U = − 3,720,024 944,784
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MATH-1326 – THQ 11, 04-17-2018 Page 4 of 8 Problem 3 : Use the formula for the sum of the first ࠵? terms of a geometric sequence to evaluate these sums: a = 8(2) - + 8(2) , + 8(2) 3 + ⋯ + 8(2) K ࠵? , = 8 ࠵? = 2 ࠵? 1 = 1[3 C 9,] 39, = 2040 b. = 6 : (−3) ,9, + 6 : (−3) 39, + 6 : (−3) 69, + ⋯ + 6 : (−3) R9, = 6 : > : + 3K : + ⋯ ࠵? , = 6 : ࠵? = −3 ࠵? R = F Q \(96) ] 9,^ 969, = 3K6 3 _ 8(2) K ‘a- = _ 3 4 (−3) ‘9, R ‘a,
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MATH-1326 – THQ 11, 04-17-2018 Page 5 of 8 Problem 4 : a) Find the sum of the first 5 terms of the geometric sequence with 4 th term , ,3 and 5 th term , K3 . ࠵? = 1 72 ÷ − 1 12 = 1 72 × −12 = − 1 6 ࠵? : = − , ,3 = ࠵? , 7− , R 8 6 , ,3 = ࠵? , 7− , 3,R 8 ࠵? , = 18 ࠵? + = ,1D79 P ] 8 B 9,H 9 P ] 9, = ,,,, K3 b) Find the sum of the first 5 terms of the geometric sequence with 3 rd term 3 and 4 th term 6 3 . ࠵? = − 6 3 ÷ 3 = − 6 3 × , 6 = − , 3 ࠵? 6 = 3 = ࠵? , 7− , 3 8 3 3 = ࠵? , 7 , : 8 ࠵? , = 12 ࠵? + = ,3D79 P E 8 B 9,H 9 P E 9, = 66 : c) Find the sum of the first 6 terms of the geometric sequence with 2 nd term , 6 and 5 th term , 1, .
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