If it is known that limk00 ak = 0 , that is the kth term of a series goes to zero as k goes to infinity, then what can be said about the series ak?You must TYPE your answer in the box provided.

Q: Define Geometric series.

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Q: Find the sum of the first 18 terms of the series below . Clearly write down what you typed into your…

A: To find: The sum of the 18 term of the series -4+12-36+108+... Formula used: The sum of n terms of…

Q: What is the sum of the geometric series:  4 + 4 x 3 + 4 x 33 + 4 x 33 + ... + 4 x 314?

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Q: Can you explain how to find each value of f(x) within the series? For example, f(x0), f(x1),…

A: For the given problem the trigonomatric polynomial og degree 2 is given by the formula So if we find…

Q: 7. In a geometric series, t5 = 23, 17 = 92. Find the sum of the first 10 terms.

A: As we know that nth term of a GP( An ) = arn-1sum of nth terms ( Sn ) = a( rn - 1 )( r - 1 )

Q: -What are all values of x for which the series

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Q: Sn = .444 ...

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Q: For the arithmetic series 35+ 32 +29, determine the value of S5.

A: In this question, we want to find the value of S5 for the given arithmetic series.

Q: Write the first five terms of an infinite geometric series that converges to 2.

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Q: Express the repeating decimar o. abcabcabc... as a geometric series, and find the value of this…

A: Express the repeating decimal 0.abcabcabc... as a geometric series, and find the value of this…

Q: Find out the number of terms (n) in the series below

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Q: 2. Find a formula for the sequence given by In+1 = 4xn – 5xn-1+ 2xn-2 n > 2, 5xn-1+ 2xn-2 n> 2, with…

A: We have  xn+1=4xn-5xn-1+2xn-2   n≥2    ...(i)x0=2,x1=7  and x2=15characteristic equation of (i) is…

Q: Find the number of terms of the series 5, 8, 11,... of which the sum is 1025

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.