Answer the following. Do the best you can entering in mathematical statements into the answer field. 1. State the p-test for infinite series. 2. Explain why the p-tests holds for the case p = 1, i.e., state whether the harmonic series converges or diverges and show why this is the case.

Q: a1=-2,a7=-8192,r=-4

A: We will solve the geometric series

Q: Consider an arithmetic series with the first term a₁ = 57 and last term a25 = -255. What is the sum?…

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Q: Examine the Conueagene the series 2. -2 3 1 4 2. 34 3.

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Q: an is an infinite Series with Partial Sum SN=7-2 Syppose that 16 and 5. an what are the values of S…

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Q: What is the sum of a series? That is, what is meant by > An = S? n=1

A: In the given series If n=1, the corresponding term is a1 If n=2, the corresponding term is a2 . . .…

Q: Use the following information to complete parts a. and b. below ) - a3 a. Find the first four…

A: Given

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: 1 converge? What are the values of x that would make the series

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Q: Evaluate the series or state that it diverges. Σ (- 4)* Select the correct choice and fill in any…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: Solution is given below :

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find the…

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Q: Find the sum of the first 8 terms of the geometric series: 1-3+9 – 27..

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Q: Find the sum of the first 7 terms of the arithmetic series shown. (-17) + (-22) + (-27) + (–32) +...…

A: For a arithmatic sequence with first term =a, common difference=dthen sum of  first n terms of the…

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

A: To determine whether the following geometric series is convergent or divergent. If it is convergent,…