show works please Q10 10 Points Answer both parts of this question, parts (a) and (b)....
Show that the sequence is arithmetic. Find the comm {Cn} = {9-2n} Show that the sequence is arithmetic. d=CH-CH-1 = (9 - 2n) - ( ) (Simplify your answers.) What is the value of the common difference? What is the value of the first term? What is the value of the second term? What is the value of the third term? What is the value of the fourth term? Write out the sum. (k+7) k=1 Find the first second, and...
Can u please explain the steps? thanks SO much! There are
three different parts.
4(:)n 1 consider the infinite geometric series Σ -1 In this image, the lower limit of the summation notation is "n 1". a. Write the first four terms of the series b. Does the series diverge or converge? c. If the series has a sum, find the sum.
4(:)n 1 consider the infinite geometric series Σ -1 In this image, the lower limit of the summation...
please show all steps
00 Does the series 2 (-1)n +16+n 8+n converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OB. The series converges absolutely because the corresponding series of absolute values is geometric with Ir] =- Oc. The series converges conditionally per...
Hi, I really need help on both parts a and b of this Complex
Analysis question. Thanks!
1. Define exp(iy) := cos(y) + i sin(y). a. Prove, using trigonometry, that exp(iy+iy') = exp(iy). expliy') for y, y' ER two real numbers. b. Prove directly (using Taylor series for sin and cos) that expliy) = " where n! denotes the factorial of n. Hint: you may use the fact that an infinite sum of complex numbers an converges if and only...
How to do the first question? Thx
(3 points) Determine whether each series converges or not. For the series which converge, enter the sum of the series. For the series which diverges enter "DIV" (without quotes). 3n-1/2 n-0 10" 105/1144 n=5 00103" n=
6. (25 points) Determine all positive values of p for which the series Lin=2 n(log2 n) 2. (15 points) Determine whether the sequence { v3.3.FI converges or not. If it n=1 converges, find the limit. If it diverges, specify whether it diverges to 00, -00, or neither. Is the sequence bounded? Explain. 4n+1 3. (15 points) Determine whether the series Emai gn=1 converges or not. If it converges, find the sum. 4. (10 points) Write 0.1257 as a fraction. 5.(20...
1 2 3
n-9n2 1. Consider an = 1+ 2n - 5n2 (a) (3 points) Does the sequence {an} converge or diverge? Show your work. (b) (3 points) Does the series an converge or diverge? Why? 2. (8 points) Use a comparison test to state whether the given series converges or diverges. 3. (6 points) Does the given series converge or diverge? If it converges, what is its sum? § (cos(n) – cos(n + 1))
please show all work..
Determine whether the following series converges. Justify your answer. 00 14 k พ 14k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. B. The Root Test yields p = so the series diverges by the Root Test. C. The Ratio Test...
urgent please
i Does the seresE(3M)'converge?Give reasons for your answer. (a)DoPons 1. ()10 Points Does the series converge? Give reasons for your answer 1. 2n+1 Test Used: o Diverges. o Converges. (b) [ 10 Points! Evaluate the integral / 3x3 -12x
i Does the seresE(3M)'converge?Give reasons for your answer. (a)DoPons 1. ()10 Points Does the series converge? Give reasons for your answer 1. 2n+1 Test Used: o Diverges. o Converges. (b) [ 10 Points! Evaluate the integral / 3x3 -12x