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Science & Mathematics by Anonymous 2018-06-20 02:33:03
Social Science
Sum of geometric series 14+70+350+...+43750?
3 answers
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Anonymous
an = 14 × 5^(n - 1) 43750 = 14 × 5^(n - 1) 5^n = 15625 n = 6 5^(n - 1) = 5^5 = 3125 14 + 70 + 350 + ... + 43750 14 × 5^(n - 1) = =
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Anonymous
14 + 70 + 350 + ... + 43750 = 14(1 + 5 + 25 + ... + 3125) = 14(15625 - 1)/(5 - 1) = 14 × 15624 / 4 = 14 × 3906 = 54684
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Anonymous
a = 14, r = 5 a_n = 14*5^(n-1) 43750 = 14*5^(n-1) ln (43750/14) = (n-1)ln5 n = 6 S_6 = 14(1-5^6)/-4 = 54,684
