katelynwear20 katelynwear20

21-07-2022
Mathematics

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If the 1st and 10th terms of geometric sequence are 4 and 100, fin the nth term of the sequence.

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aleegutierrez900jh aleegutierrez900jh

21-07-2022

Answer:

a = 4 first term, r = ?, T10 = 100.Tn = ar^n - 1 formula for g.pT10 = 4r^ 10 - 1100 = 4r^9Divide both side by 4100/4 = 4/4r^925 = r^9 take the 9th root of both side 9√25 = 9√r^9r = 9√25To find the nth term Since Tn = ar^n - 1

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