1 3. Does this series have a sum? +++ Why and Why not? ... 128 64 32 4. Find the sum of the geometric series, 81-27+ 9 -3 +.. 1 +.. 12 1 1 5.Find the sum of the first six terms of this geometric series. 3 6.

Q: 13. Find the sum of the infinite geometric series, if possible: 1 (a) 1+ 6. 1 +... 216 ( b) 2+8+32 +…

A: Given that, There are two infinie geometric sries, (a). 1+16+136+1216+.......... (b).  2 + 8 + 4 +…

Q: b. Find the sums of the following infinite geometric series , if i-1 it exists T, 4 (%)

A: Infinite series problem.....

Q: 5. The sum of the first n terms of a sequence is called the nth sum and is denoted by S.

A: An arithmetic sequence is a series of numbers that have the same common difference and the sum of…

Q: Which

A:

Q: The infinite geometric series represented by –5.8 + 12.18 – 25.578 + 53.7138... converges

A:

Q: 12 * Find the sum of the finite geometric series. 1+ 4+ 16 +64 + ... + 4" а. 516 b. 2,073.3 c.…

A: Please see the answer in Step 2

Q: 9. What is the sum of the geometric series 26(2)*? a. 15,658 b. 6,138 с. 12,276 d. 756

A: The given geometric series is: ∑x=11062x

Q: What is the sum of the geometric series below? 1 3 + 1+ 3 1 9 27

A:

Q: 7 The sum of the geometric series E, is: 'n 1 4" Select one: а. 7 4 b. 7 3 O C. 1 d. 3

A: We have to find the sum of given geometric series.

Q: 35. Find the sum of the following geometric series. A. Does not exist B. -12, 258 Σ -3(2)'-¹ C.…

A:

Q: 8. Find the sum of the infinite geometric series below: 3 (a) 3 + 4 3 +... 42 (b) 3-1+- 3 9

A: Sum of infinite terms of GP where a is the first term and r such that -1<r<1 is the common…

Q: 9 E-2 ·(-2)"-1 n=1

A: ∑n=19-2·-2n-1

Q: - 12,800, 6,400, - 3,200, 1,600, ..... Select one:

A:

Q: How would you classify the sequence 28,21, 15, 10, 6, ... .? ...... A. Arithmetic Series B.…

A: Difference between terms is equal So this is arithmetic series.  Option A is correct

Q: 4. (i) The 6th term of a geometric series is a - and 10th 1 term is 27√3 (ii) The sum of first 10…

A:

Q: The first term of a geometric sequence is 4 and the fourth term is 1/2. What is the value of r? b)…

A:

Q: 15 What is the sum of the geometric series 22)* rounded to the nearest whole number? x=0 a. 4 b. 0…

A: From the sigma notation of GP, it is clear that the first term a=1/2 and common ratio r =1/2. also…

Q: 12 (4 – 10n) n =1

A: Proceed as shown below...

Q: Find the sum of infinite geometric series: 3 + 3/4 + 3/42 + 3/43 + ......

A: If a+ar+ar2+ar3+..... is an infinite geometric series with common ratio r and r<1. Then, sum of…

Q: A) Write the nth term of the 1 2 3 4 sequence: 글 .. 22' 23' 24' 25 B) Write the sum of three terms…

A: Given: (A).Write the nth term of the sequence : 122,223,324,425(B).Write the sum of three terms of…

Q: Show that 1 1 1 3 1.3 2.4 3.5 4 [Hint: Find an expression for a general term in the sum and see if…

A:

Q: 10 8) Σ-2- –2m – 7) m = 1

A: sum = n2(2a +(n-1)d) = 5(-9*2 + 9*(-2)) = 5(-36) = -180

Q: 1. Consider the sequence: 12, 19, 26, 33, ..., 187 a) Determine the number of terms in each…

A:

Q: 11 Identify the following series as arithmetic, geometric, both, or neither. -3 + 3 - 3 + 3 - 3 +…

A: The given series is -3+3-3+3-3+..........

Q: Find the sum of the infinite geometric series. n-1 E 9- ()" -26 O-27 27 -31

A:

Q: 4. i) Determine whether each series is arithmetic. ii) If the series is arithmetic, calculate the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the sum of the arithmetic series n = 10, an =41S n=230 show work

A: an =a+(n-1)d  and sn = n(a+l)/2 where l = an

Q: 13.The sum of all the n terms in an arithmetic sequence is 63. If n is odd then the middle term of…

A:

Q: 6. Determine the sum of each geometric series. a) 27+ 9 + 3 + + 1 243 b) 7 + 3.5+ 1.75 + ... + 0.109…

A:

Q: What is the sum of the first 30 terms of this arithmetic series? - 5, - 2, 1, 4, .... Select one:…

A: We can find the sum of the first 30 terms of this arithmetic series in the following steps.

Q: 9. If the following sum represents a geometric series, then which of the following is its value? (1)…

A: Solve for the sum of series

Q: 8. Write: 6 +1 +-4 +-9 +-14+ – 19 3 in SIGMA NOTATION 9. So in a staircase problem/an arithmetic…

A:

Q: Find the sum of the arithmetic series. 3+5+7+9+...+19

A: Explanation of the answer is as follows

Q: 7. Choose a repeating decimal (different from the ones in the notes and practice problems). Show how…

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 27.1-) is the sum of the first n terms of a series. The 4" term of the series is: A. 16 B.-8 C.- 15…

A:

Q: 4. Find the sum of the geometric series 3-3/2+3/4-3/8+3/16 - ..

A:

Q: )3-홍+-+ 27 9 State the given series as sumlsigma notation.

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: How many terms are there in a geometric series if the first term is 7, the common ratio is 2, and…

A: a= first term=7 r= common ratio=2 S= sum=105

Q: 4. Determine the sum of the following arithmetic series. 22 E(- 5k + 12) k=1 Student's Work…

A:

Q: 6 Find the sum of the arithmetic series, 3n+2. 50 75 100 25 O O O

A:

Q: Find the sum of the infinite geometric​ series, if it exists.   −12−4−4/3−4/9−

A: Explanation of the solution is given below...

Q: How would you find the sum of this series?  10/3 + 5/3 + 5/6 + 5/12 + 5/24 + 5/48 + 5/96+...

A:

Q: 1. Find the sum for the first 30th terms of the following series 2.4+4·6+6 · 8+ · · .

A: We will use basic knowledge of series and summations to solve this question.

Q: What is the sum of the geometric series in which a1 = 4, r = 3, and an = 324? Hint:  r ≠ 1, where…

A:

Q: 6. Find the sum of the given geometric series: 60 +6 +0.6+0.06 +0.006

A:

Q: 1. Find the sum, If it exists, of the infinite geometric series related to the Infinite geometric…

A: We have to find the sum, if it exists, of the infinite geometric series related to the infinite…

Q: 16+19+22+25+...Which one of the following is the sum of the first 90 terms of this series? a)16,701…

A: Concept: Arithmetic Progression: Arithmetic Progression (AP) is a numerical series in which the…

Q: 1 1.1 18 6 2. Find the sum of the first 5 terms of the geometric series +

A: topic - sum of geometric progression

Q: 2) Find the sum of the geometric series: a. (-1)"+1 22n+1 n=2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 15. What is the sum of the series Eo В. -2 16. Find the sum of the first 99 terms of the sequence 5,…

A: topic - sum of series

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.