answer and step by step to b and c please. Find the sum of the following...
(1 point) Find the infinite sum of the following geometric series. If the sum does not exist, type DNE in the answer blank. 8. 9 i=0 Answer:
+ Rewrite the number 0.5 as the quotient of two integers. Find the sum of the given finite geometric series 0.5= (Type an integer or a simplified fraction.) The sum of the finite geometric series is Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 27+9+3+... Warren wanted to save money to purchase a new car. He started by saving $1 on the first of January. On the first of February, he saved $3....
Find the sum of each geometric series: ΣXe) n +3 Σ-5 b) 50 n-0 n-1 Find the sum of each geometric series: ΣXe) n +3 Σ-5 b) 50 n-0 n-1
(a) Starting with the geometric series X?, find the sum of the series η ΕΟ Σ ηχο – 1, 1x] <1. ΠΕ 1 (b) Find the sum of each of the following series. DO Σηχή, 1x <1 η = 1 η (i) Σ. (c) Find the sum of each of the following series. D) Σπίη – 1)x, Ix <1 ΠΕ 2 (i) Σ - η 57 ΠΕ 2 0 i) 22 = 1
help answer this step by step please a, b, c 1. (09 pts.) Simplify the following into a single term. Use exact numbers. b. sin(5y) - sin(8y) C. 1- (sin z - cos z)? a. sin(–3x) cos(-x) – cos 6 – 3x) sin(-x)
1 1. Find the exact sum of the following infinite series as indicated below: -1 1 1 1 1 + n(-4) 2(16) 3(64) 4(256) a. Let f(x) = 2n=1 (-1) x". I n a b. Find the power series for the derivative f'(x), and observe that it is a geometric series. Find its first term and common ratio. c. Use the formula 1-r to find an algebraic expression for f'(x). d. Integrate to find an algebraic expression for f(x). Make...
Determine whether the series - converges or diverges. If it converges, find its sum. nt 8 Select the correct answer below and, if necessary, fill in the answer box within your choice. 4" + OA The series converges because lim- -= 0. The sum of the series is (Simplify your answer.) O B. The series diverges because lim*++0 or fails to exist. 008 O C. The series diverges because it is the sum of two geometric series, at least one...
The answer i selected is not correct Question 2 0/1 pts Find the sum of the geometric series no Series diverges.
6. If the sequence an converges, find the limit b. o C. 1 d. e. It diverges Find the sum of the convergent series: 7. Σ (hint a telescoping series) a 8. For a series Σ"。 find the sum if it converges (hint: a geometric series) 9. Determine the convergence (C) or divergence (D) of the sequences and series, respectively C.DCDC d. CCDC e. None of these
please answer a through f 5. For the following series, find the sum of the series or determine that it diverges. 2n 7 n=0 n=0 (-2)n+1 n² n 3n2 + n-1 9 (f) L 3n n=0