Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.) (a) 1 + 2 + 3 + 4 + . . . + 397 + 398 + 399 + 400   (b) 1 + 2 + 3 + 4 + . . . + 542 + 543 + 544 + 545   (c) 2 + 4 + 6 + 8 + . . . + 74 + 76 + 78 + 80

Q: Refer back to the previous question with the following sequence: 3, 7, 11, 15... Part b) Write and…

A: According to questionSequence 3,7,11, 15...

Q: Find the formula of the general term an of the sequence: 26 24 120 1, 4 '9 ' 16 ' 25

A:

Q: Evaluate the sums (i? + 3)

A:

Q: 3. Σ (i-1) and Σ -k). | k=1

A:

Q: Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this…

A: Here we have to find the following sums without using a calculator or a formula. Given:-  2 + 4 + 6…

Q: aluate the sum. 50 E (k + 1)² – k²) k=1

A:

Q: Find the sum. 5 Σ (k+ 1)²(k - 5) k = 1

A:

Q: Σ The value of the sum: + 2n is k=1

A:

Q: The logs are piled such that each row is 2 less than the one below. If there are 30 logs at bottom…

A:

Q: Find the formula of the general term an of the sequence: 2 6 24 120 1. 4 '9'16 ' 25

A:

Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 4. 4. 4…

A: Sum of nth   term of G.P. is given below

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ... a = 32· 4"-1 %3D A a = 2.4"-1 a…

A: Given, the sequence                2,   8,   32,  128 ....... So , by observation 2 = 2. 40   8 =…

Q: 3 The value of the sum: k is 225 k%3D1

A:

Q: I am trying to confirm my answer for a recursive sequence homework problem at University. I need to…

A:

Q: Use the approach in​ Gauss’s Problem to find the following sums of arithmetic sequences. a.…

A: According to the given information it is required to calculate the sum of the arithmetic sequences…

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

A:

Q: INDUCTIVE & DEDUCTIVE REASONING Specifically, what type of reasoning is each person using, and who…

A:

Q: The formula sn=5+3(n−1) can be used to find the nth term of a sequence. What is the recursive…

A: We have to find recursive formula

Q: What are the terms a₀, a₁, a₂, and a₃ of the sequence {aₙ}, where aₙ equals  a) 2^n + 1? b) (n +…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: Find the formula of the general term an of the sequence: 3 4 5 6 16 ' 25 '36 '49

A:

Q: given below, use the formula for the sum of the first n integers either to evaluate the sum or to…

A:

Q: Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this…

A: Part A:   The given series is:   1 + 2 + 3 + 4 + . . . + 394 + 395 + 396 + 397

Q: Find the sum, if it exists. 11 k Σ 13 k = 1 2/3

A:

Q: Given the following arithmetic sequence 3, 9, 15,... , find the value of the 16th term and the sum…

A:

Q: b. Observe the answers in column B. Do you notice any pattern with the sums of consecutie…

A:

Q: Macy has a method that she calls "Balancing" to help her compute certain sums in her head. For…

A: The balancing method can be done by simply making the sum easy just by adding some to one number and…

Q: Use the approach in Gauss’s problem to find the following sums of arithmetic sequences.…

A: solution  (A)S=1+2+3+4+5+6+......98S=98+97+96+95+94+.....+12s=99+99+99+99+............99 98 times…

Q: What is the value of the following infinite sum? 5 + 5/2 + 5/4 + 5/8 + 5/16 + .. = ?

A: Solution of the problem as follows

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

A: Each question is difference so it is a multiple question so kindly repost other question as next…

Q: What is the value of the sum n (*) n | 3"-k2k k k=0 6^n 9^n 5^n 1

A:

Q: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1. Term…

A:

Q: Use the same ideas outlined above in finding the requested sums: 1. a = {9, 27, 81, 243, 729, ...}…

A: Given that: 1.  a={9, 27, 81, 243, 729, ...}           NOTE: As per our answering guidelines, we can…

Q: Thank you for your quick response! That clarifies a great deal! How do you determine the 1^2 +…

A:

Q: Is the sequence an = 5 + 8n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

A: We have to determine whether  the sequence  are arithmetic  or not . And also to find the first term…

Q: Find the sum and express the answer in its lowest term. 3 =N 4 10 1) 9 3 2) + 13 6. 4 3) + + 7. 9.…

A:

Q: to show that the given sequence {an

A:

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

A:

Q: Given the geometric sequence an with the following information, find a10. az = -36 128 27 Select the…

A:

Q: There is a simple formula for the sum of the first n cubes. n' (n + 1)2 n i=1 Using this formula,…

A: Sum of cubes

Q: Find the sum of the following arithmetic question in summation notation. Thank you very much.

A: Given : ∑n=150n To Find : Sum of the 50 natural number

Q: Given the recursive sequence tn defined below, ind t4. tį = 3 tn = tr-1 + n – 2 Do not include "t4 =…

A:

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A: The nth term of an arithmetic sequence  is given by       an = a +(n-1)d  Where  a - First term of…

Q: The sequence is equal to the sequence n+1 n = 3 (1 2 3 4 2'3'4'5 True False

A: It is given that the general term of the sequence is nn+1n=3∞. We have to check whether the general…

Q: Use the approach on Gauss's problem to find the following sums of arithmetic sequences…

A:

Q: 13 E(k- 1) – 8(k – 1) – 13] k=3

A:

Q: Use the approach in​ Gauss’s Problem to find the following sums of arithmetic sequences. I need help…

A: Gauss’s approach to find the sum of arithmetic sequences is as follows. Consider the sequence…

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: use the approach in Gauss's problem to find the following sum of arithmetic sequences.…

A: Topic = Series

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

A: Consider the function and find linearity.

Q: Use the approach in Gauss's Problem to find the following sums of arithmetic sequences. a. 1+2+3+4+.…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.