1+(-1)" m? +1 (0.1)" +1 Evaluate the sums: (a) (b) í(4 +m²)!5 m3 Ans. 2.52; 0.1948

Q: Write the sum without sigma notation and evaluate it. k+ 3 2+3 2 1+3 3+3 15 () 1+3 3+3 1. O 1+3 2+3…

A: We find sum of given series

Q: Write the sum using sigma notation 7. 1 2 3 4 13 2ln 3 3ln 4 4ln5 5ln 6 14ln 15

A: Numerators are 1,2,3,4,...,13It can be written as n for the nth term.

Q: Use sigma notation to write the sum.

A: Given the sum is     2n3 - 2n2n + ... + 2nn3 - 2nn2n

Q: Express the following sums in summation or product notation |을 + + +급 +급 + 뉴 | 22+4z + 6z"+...+30z³1

A:

Q: n 2 (4k – 2) = k=1

A: Recall:  1+2+3+...+n=n(n+1)2

Q: Write the sum using sigma notation: A 1+ 2 + 3 + 4 +.… ·+ 135 = > B, where n=1 A = А В -

A: A= 135 B= n

Q: -Σ=o(x + 2;)2

A:

Q: 21 j=3

A: Use the formula for the sum of n natural numbers.

Q: (2) Give the infinite sum definition of e using factorial numbers. e Please don't forget at the end.…

A:

Q: Write the sum using sigma notation: 6 +9 + 12 + 15 +…+ 42 = B, where n=1 A - B- %3D

A:

Q: Express the sum using summation notation. 1+2 +3 + • •• + 24 1+2+3+ • •• + 24 = Σ k = 1

A:

Q: can i get step by step help please

A:

Q: b. Compute double sums. E o(3³ + 3.2')

A: To compute∑i=35∑j=03(3i+3.2j)

Q: 100 Σ 4. そん k%3D3

A:

Q: -3 2( n=4 4.

A: Given ∑4∞2-34n= 2∑4∞-34nhere,∑4∞-34 is an infinite geometric seriesand its first term (a) =-344 =…

Q: What is the summation from n = 1 to infinity, of  (3n+1) / (5n + 4) ?

A:

Q: Write the following sums in Sigma notation, starting (a) 1+4+7+ . . .+ 298 (b) 5-22 +5- 2³ + 5 · 2ª…

A: First find the kth term of the series then find the number of terms and then write in sigma…

Q: Write the sum using sigma notation: A 1 + 2 + 3 + 4 + ...+ 121 = B, where n=1 A = В

A:

Q: Express the sum in sigma notation. 4 + 5+6+7+8 + 9 O A. 2 (k+4) k= 4

A: The sum is:4+5+6+7+8+9

Q: Use the appropriate error theorem to find the sequence bn in terms of N, such that +00 1 1 IE(-1)".…

A: Since you have asked multiple questions, we will solve the Question (i) for you. If youwant any…

Q: Express the following sum in closed form. (2+3k)² = k 1 Hint: Start by multiplying out (2 + 3k)?.…

A: To write sum in closed form

Q: Evaluate the following sums: a.--22√k+2 b.Σ o(x + 2i)2 3

A:

Q: Write the sum using sigma notation: 1+2+3+4+...+ 131 = ) B, where n=1 A = B = ||

A: Given,           1 + 2 + 3 + 4 + ... + 131 =∑n =1AB

Q: Express the following sum in closed form. k 4 +3- k=1 Hint: Start by multiplying out ( 4 + 3 . Note:…

A: This sum can be written in the form of an integral sum.Assume that,

Q: Find an explicit formula to calculate the sum (assuming n is a multiple of 2)  P = 1 · 1 + 2 · 2 +…

A:

Q: Use sigma notation to write the sum.

A: Given,

Q: Evaluate the following geometric sum. 7 Σ σπκ k = 0 7 Σ σπκ = k = 0 (Type an exact answer, using it…

A: I have stated the used formula in the solution.

Q: (nt) n=1

A: we have to find the sum

Q: Express the following sum in closed form. What is n (ending term)? ∑nk=1(5k−3)=

A: Consider the given series.Then apply the sum rule on the expression.

Q: can i get step by step help please

A: There are two terms in the series above. We will evaluate them one by one and then add them up to…

Q: Use the rules for sums of powers of integers to compute the sum. 22 [² j=8

A:

Q: Evaluate the finite sum, where N is a positive integer constant. k N4 k=1 100 N2 N + 1 2N3 O N N 2

A:

Q: Compute the indicated sums. Σκ k=1 k=1

A:

Q: Write the sum using sigma notation: A 1 1 1 1 2 B, where 1· 2 2·3 3. 4 180 · 181 n=1 A = В-

A:

Q: Use sigma notation to write the sum. [금)-(금)·. ()-끝() 9 (4) 3 3 3n 3n 3 + n Σ i = 1

A: Look at the question there is a variable multiplied with 3 inside the square bracket which is…

Q: Use Power Sums to evaluate 352 – 2s – 3 lim N3 s=1 (Give your answer as a whole or exact number.)…

A:

Q: Write the sum using sigma notation: A 4 + 6 + 8 + 10+ · . · + 28 УВ, where n=1 A = В -

A:

Q: Express the following sum in closed form. What is the N (ending term)? ∑k=1 8=

A: First of all, consider the given expression.Apply the sum formula on the expression.

Q: 8) Determine the exact value of the following sum. Show all work. * 3(-1)" 4n(n + 5) n=2

A: The answer is given as follows.

Q: what is the summation where k = 1 of e^-2k

A:

Q: Compute the sums below. (Assume that the terms in the first sum are consecutive terms of an ar + (-…

A: Given: - The sequence is, 7+5+3+......+(-263)=∑k=1119(3k+1)= To compute: - The sums below. (Assume…

Q: Evaluate the following sum.

A: We have to evaluate the following sum.

Q: Compute the following sums.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Use the approach in Gauss's Problem to find the following sums of arithmetic sequences.  A.…

A: Consider the series 1+2+3+4+…+1001. For the series 1+2+3+4+…+1001, it is clear that there are 1001…

Q: Write the sum using sigma notation: A 3+5+7+9 + + 31 = > B, where %3D n=1 A = В - ||

A:

Q: 1 %3D the result to find the sums for n = 10, 100, 10

A: The expression given is, ∑i=1n4i+3n2 Write the expression in summation form. Apply the summation…

Q: Express the following in summation notation 50 + 50 +50 + 50 + 50 + 50 k2 + k3 + k5 + k7…

A:

Q: 2. Use the Geometric Sum Formula to do the following. (a) Evaluate 1 +3+3² +3³ + · ·.+310. (b) (Part…

A:

Q: Use sigma notation to write the sum.

A: In the given sum,

Q: Use linearity and formulas (3)–(5) to rewrite and evaluate the sums.

A: Consider the function and find linearity.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.