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Based on this problem“Find the sum to infinity of each sequence, if it exists. 1/3,1/9,1/27,1/81,...pick an information and state its use in daily conversations and exchanges, answer now plss :((( |
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Answer» answer S= 1/2 Explanation: Formula for sum of infinite geometric SERIES is S_=a_1/(1-r) ; " " " " " -1 < r < 1 We have a geometric series :1/3 + 1/9 + 1/81+......... FIRST we KNOW a_1= 1/3 (the first term) Second: Identify r, we know r= a_2/a_1 or r= a_n/a_(n-1 r= (1/(9))/(1/3) HARR 1/9 *3/1 = 1/3 r= 1/3 Substitute into the formula Soo= (1/3)/(1-1/3) = (1/3) /(2/3) =(1/3)*(3/2) Soo= 1/2 |
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