4- Calculate the following sums: 10 d- > (2k² + 5) k=1

Q: Find the sums given below. 1 (a) 2k* k=1

A:

Q: Calculate the sum of the series whose partial sums are given. n = 1 s, = 4 – 7(0.8)"

A: For find the sum of given series we find out the limit of given partial sum . Follow 2nd,3rd step.

Q: Evaluate the following sums.

A: In this question, we have to expand the double and single summation.

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: -Σ=o(x + 2;)2

A:

Q: Simplify by combining the two sums and find an erplicit formula. That is, your answer should not…

A: Simplify by combining the two sums and find an explicit formula. That is, your answer should not…

Q: Find the value of the specified finite sum. Given ak = 3 and bk = 7, find (ak- 2bk). %3D k=1 k=1 k=1

A: We can find the specified finite sum as below.

Q: Calculate the following sums: 5 3k а- k=1

A: Use the summation formula:

Q: Evaluate the upper and lower sums for (x) Withh dlagr n = 2: upper sum lower sum Illustrate.

A: The given function is: fx=2+sinxThe interval is 0≤x≤π

Q: The ration of the sums of m and m terms of an AP is m2:n2 .show that the ratio of mth and nth  is…

A:

Q: 12k(k – 1) n3 k = 1

A:

Q: 16. Use a left sum with n = 4 to approximate the area of the region.

A: Given that, the function is fx=2x3+1 and between the vertical line x=0 and x=4. Therefore, the area…

Q: Compute 1. each of the following sums.

A:

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

A:

Q: Express the sum in terms of n.

A: Given- ∑k=1n3k2-2k+1 To find- The sum of n terms.

Q: Write the following sum using summation notation.

A: Given: -25+36-47+........+1114

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: Use the estimate R₁ ≤ b+ 1 to a value of N that guarantees that the sum of the first N terms of the…

A: answer is in next step . please give a like !!

Q: 8 Use the appropriate graph(s) to find the LEFT HAND SUM estimate of The left hand sum estimate is

A:

Q: Verify that the geometric sum formula gives the correct result for the sums 1 + (1)/(2) and (1)/(2)+…

A: Formula for the sum of a geometric  series:Sn=a11-rn1-r    r≠1a1=the first termn=number of…

Q: · 물 + 3rt + 즐 +4z°+.. * - +4 -1+--

A: We express the following sums in summation notation First two series represent as a finite series…

Q: For each of the summations given below, use the formula for the sum of the first n integers either…

A:

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: Calculate the formula for the following sum (k+(k+1)+(k+2)+.....(k+n)

A:

Q: 2: Evaluate the following summation. Lince x 7X7331

A:

Q: 6. Use the trapezoid rule with n = 150 to approximate 5 dr. You need to carefully write out 1+ a the…

A:

Q: Find the infinite sum generated by the following series: 4+1+ 4 16 ... 16 3. O O

A:

Q: Compute the sums using the given method. Part 1 out of 7 a. Left-to-right addition 954 + 573 954 +…

A: To compute:

Q: Use the rules for sums of powers of integers to compute the sum. 18 Σ; j=5

A: We can find the answer in the following steps.

Q: Use the rules for sums of powers of integers to compute the sum. 21 Σ k k=3

A:

Q: Express the following sum in closed form. Σ 2 k > (4 +3 in k=1 -(+-2 ). k Hint: Start by multiplying…

A:

Q: Find the maximum error incurred by using the first three terms to approximate the sum of the series:…

A: Please see the attachment

Q: Express the sum in terms of n.

A: Given: ∑k=1nk2+3k+5

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: By redefining the ranges of the summations appearing on the left-hand side, show that En(n –…

A: Consider the left hand side Substitute n = n+2 in first summation, thus it becomes By…

Q: Find the sum S given by S=1² +2²x+3x²+4² x³ +0 for x < 1

A: A good problem. We shall look at the famous geometric series \sum x^n and obtain S by repeated…

Q: Find the sums of the series

A: The given infinite series is: We see that,

Q: 4. Use the method of Gauss to find the following sums. SHOW YOUR WORK a) 1+2+3+ ..+ 2000

A: Solution: Consider the given sum of finite term series is 1 + 2 + 3 + 4 + 5 + ..........+ 2000…

Q: #1. Compute the sum, if po 8 n 3 () 5 n=0

A: It's a GP with infinite terms and having common ratio between -1 and 1

Q: The ratio of the sums of m and n terms of an AP is m2 : n2.show that the ratio of the mth and nth…

A:

Q: Calculate Reiren Sum by define tion Hexe C=2 D= 7

A: given f(x) = cx2 - Dx +1 in [2,3] here C = 2 and D = 7   we deduce here the  Riemann sumthe  left…

Q: Find the following sums: (i) E k=3

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the first six partial sums S1, S2, S3, S4, S5, S6 of the sequence whose nth term is given. 3,…

A: We will find the solution in the following step

Q: Compute the right and left sums for the indicated partition and function, y 1 2 3 1 2 3 4 where p =…

A:

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 trapezoid rule with n= 150 to approximate 1+744. You need to carefully write out the sums in…

A: Trapezoidal rule:  where n=150 and Now, the given integral is

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.