7. F/5 Points] DETAILS LARCALCET75.2.012, Use sigma notation to write the sum. 7 4 + 1...
SCOLALGZ Write the sum using sigma notation. 1 1 2 In(2) 3 In(3) 4 In(4) 1 1 5 In + + 5 In(5) 130 In(130) 130 k = 2 X Submit Answer
2.) write the sum using sigma notation. do not evaluate.1 • 2^3 + 2 • 2^4 + 3 • 2^5 + 4 • 2^6 +...+ 100 • 2^1023.) expand the expression.(1-x^2)^64.) Determine whether the expression is a partial sum of an arithmetic or geometric sequence. Then find the sum.1 + 0.9 + (0.9)^2 + ...+ (0.9)^5
1. (13 points) Use the limit of a Riemann Sum (i.e. sigma notation and the appropriate summation formulas) to evaluate the net-signed area between the graph of f(0) = 23 – 3 and the interval (0, 2). Let 27 be the right endpoint of the k-th subinterval (where all subintervals have equal width). Give your answer as a single integer or frac- tion, whichever is appropriate. Using any technique other than a limit of a Riemann Sum will earn no...
i) Write a Sigma-notation summation for: the sum of the first “n” odd positive integers. For example, if n=4, it should sum like this: 1 + 3 + 5 + 7. ii) Starting with: 1+sum r^n, n=1 to infinity, rewrite it as just one summation without the 1+ out front. iii) Starting with: sum 1/n, n=1 to infinity, rewrite it as two terms out front, and then the sum starting at n=3. iv) Starting with: sum 1/(n+1), n=0 to 5,...
3 Write the following sum in sigma notation. ai 6 02 9, 12 03 04 x
SCALCET8 11.6.029. DETAILS PREVIOUS ANSWERS 4. [3/4 Points) Use the Root Test to determine whether the series is convergent or divergent. 4 Identify an aft Evaluate the following limit. lim Vlani I Х Since lim Van 1, the series is divergent Need Help? Read it Watch it Talk to a Tutor Submit Answer 5. [1/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.6.031. Use any test to determine whether the series is absolutely convergent, conditionally co Σ(1) In(n) Σ - 2 absolute...
) Write the following series in sigma notation. Determine if the series converges and, if it does, find the sum of the series. 5−3 +9/ 5 −27/ 25+81/ 125 −...
7. (-/5 Points) DETAILS MY NOTES Find the Taylor series for f(x) centered at the given value of a, assuming that f(x) has a power series expansion about a. f(x) = x - x3 = --3 Submit Answer Find the Taylor series for f(x) centered at the given value of a, assuming that f(x) has a power series expansion about a. 1 f(x) a = 2 х 20 8( (-1)". „n+1(x - 2) n=0 Find the Maclaurin series for f(x),...
1. Express the sum in sigma notation: 12 + 22 + 32 +42 +52= 58-13
(1 point) Use sigma notation to write the Taylor series about x = Xo for the function. e-Sx, xo = -5. Taylor series = ((-5)^k/k!)(k+1/5)^k KO