(a) Write down the infinite repeating decimal 0.00000 789 = 0.00000789789789789789789789 . as a geometric series Ear". n=0 (b) Write down the first (nonzero) term, a, of the series. (c) Write down the ratio, r, of any two consecutive tems of the series.

Q: Find the partial sum of the first 40 terms of this arithmetic series: 24 + 20 + 16 + ..

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Q: 2. (a) Write the repeated decimal as a geometric series in summation notation and then use your…

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Q: The sum of the first 10 terms of a geometric sequence is equal to 1456/243. (a) Find the first term,…

A: Given The sum of first 10 terms of a geometric sequence is as follows: S10=1456243

Q: Calculate the sum, to 4 decimal points, of the first 10 terms of the series whose terms are 1, 0.5…

A: we have given that      the series whose terms are1, 0.5, 0.25, .....we have to find sum, to 4…

Q: 3919, find a601• Given an arithmetic series,S243 = 511272 and a243 5.

A: nth turm :an = a + (n-1)dSum :Sn = n2 (a + an)

Q: 3. Find the arithmetic series of the arithmetic sequence {1, 2, 3, ..., 200} Show your work here:

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Q: 1. Write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the number as…

A: The objective of the question is to express the given repeating decimal number 15.0225825825825...…

Q: 2. Do the same for the following (after expressing it in the form of a geometric series): 3 + ...…

A: Given that: A geometric series-    18+182+183+184+...

Q: 5. Find the arithmetic series of the sequence {4, 6, 8, 10, ..., 52}. a. Find n, the number of…

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