12-1 + + 4. The series £9) .. is a geometric series. 4 n=1 Which of...
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...
n-1 1 1 1 4. The series $0 = 1 + +... is a geometric series. 2 2 4 8 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.
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...
arn-1 is n=1 5. For positive numbers a and r, it is known that the geometric series > divergent. Which of the following is true? (a) r < -1. (b) -1<r<1. (c) r>1. (d) r > a.
Determine whether the geometric series is convergent or divergent. (5 - 7 + 4 _ 343 + ...) convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
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.
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.)
6. State whether each geometric series is convergent or divergent. Show your work. If the series is convergent, find the sum of the infinite series. (4 marks) 5 a) 80 + 20 + 5+ 4 + b)t gr- r= -2 7. State the reference angle for each angle in standard position. Draw a diagram and show your calculations. State the Quadrant that the reference angle belongs in. (4 marks) a) 55° b) 155° c) 255° d) 355° 3
31 Consider the geometric series 2001 (-1)-1 Let Sm = 2-1 (-1)^-1 2071 (1) Give S2 (2) What are a 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.
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......