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31 Consider the geometric series 2001 (-1)-1 Let Sm = 2-1 (-1)^-1 2071 (1) Give S2...
Let Consider the geometric series M-1 (-1)^-1 got7 Sm = Enci (1) Give S2 (-1)n-1 21+1 gon (2) What area and r of the this geometric series? (3) Determine algebraically (without using a calculator) if the series is convergent or divergent and why. (4) Find the sum algebraically if it is convergent.
Question 9 10 p Consider the geometric series (-1)-**. Let S = T. (-1)-**** (1) Give S (2) What area and of the this geometric series? (3) Determine algebraically (without using a calculator) if the series is convergent or divergent and why. (4) Find the sum algebraically if it is convergent. 12pt Β Ι Ν Α TV HE TE Paragraph x $
Consider the telescoping series Σ. (Η -- (1) Let the mth partial sum Sm = m- vnts). 1 va). Give (1) S = (ii) S2 = (iii) S3 (iv) In terms of m. Sm (2) Compute limmo Sin (3) Determine if the series. The most ama vonta) is convergent or divergent. Give the exact sum if it is convergent.
Question 10 Co Consider the telescoping series LGT) (1) Let the mth partial sum Sm = (-) Give (1) S = (ii) S2 = (11) S = (iv) In terms of m, Sm (2) Compute lim, (3) Determine if the series + S 00 (-) is convergent or divergent. Give the exact sum if it is convergent. TO Lop 12pt Paragraph BIU A 2 TY BEY B
please answer both questions, and show all the works 4. Determine whether the geometric series is convergent or divergent. it 1 . Determine whether the ge find its sum. πη 3n+1 72 5. Determine whether the series is convergent or divergent. If it is convergent, find its sum. k2 k2-1 k 2 4. Determine whether the geometric series is convergent or divergent. it 1 . Determine whether the ge find its sum. πη 3n+1 72 5. Determine whether the series...
12-1 + + 4. The series £9) .. is a geometric series. 4 n=1 Which of the following is true? (a) The series is convergent and its sum is less than 1/2. (b) The series is convergent and its sum is 1/2. (c) The series is convergent and its sum is 2/3. (d) The series is convergent and its sum is more than 2/3. IS 5. For positive numbers a and r, it is known that the geometric series divergent....
Determine whether the geometric series is convergent or divergent. 00 3 mn n=1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
Consider the following series and if convergent, find their sums: a.) b.) n=1 to ∞ 24/n(n+3) c.) We were unable to transcribe this imageDetermine whether the series is convergent 3 m243) O convergent O divergent If it is convergent, find its sum. (If the quant 5. -/4 POINTS SCALCCC4 8.2.034. Consider the following series. (n+1) (a) Determine whether the series is converge O convergent divergent (b) If it is convergent, find its sum. (Otherwise 50. 3 Calendar Calculus II: Homework 3A......
(10) 6. Determine whether the geometric series is convergent or divergent. If it converges, find its sum. 23n+2 10-3 no
1. A series Can has the property that lim on = 0. Which of the following is true? (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (d) There is not enough information to determine whether the series converges or diverges. 2. A sequence { $m} of partial sums of the series an has the property that lims Which of the following is...