Use the formula S=n2 to find each sum. (Hint: To find n, add 1 to the last term and divide by 2) 1+3+5+...+999

Q: For Exercise, find the sum. т+1 Σ

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Q: Find the indicated sum. 4 E içi + 5) i= 1 4 E içi + 5) = (Simplify your answer.) i = 1

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Q: For Exercise, evaluate the sum if possible. 00 Σ ε! n= 1

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Q: Refer to the sequence below. How many dots should there be in the next figure? Answer:

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Q: Compute each sum below. If applicable, write your answer as a fraction. (-2) + (-2)° + (-2)' = +…

A: Given query is to find the sum of the series given

Q: Find the sum 70 5n n=21

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Q: Indicate the values of x and y such that the following equation holds for every sequence {an}n>0 60…

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Q: a. Find the formula of the following sequence: 3 8 15 24 35 6'25' 62'123'214

A: Explanation and solutions is given below....

Q: Compute each sum below. If applicable, write your answer as a fraction. 4 + 4

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Q: Evaluate each geometric sum.

A: Consider the given geometric series: Here the objective is to evaluate the given geometric sum.

Q: 用. a1 a2 a3 a4

A: It is given that the number of points at which the first block of tiles a1 are connected is 5 The…

Q: Find the sum : [00 En = n=0 (-1)" πT 2r q" (2n)!

A: We have given a series ,  ∑n=0∞ (-1)n π2n9n 2n! We need to find the sum of series ,  ∑n=0∞ (-1)n…

Q: Which of the following has a sum greater than 1? (F) 10 25 m17

A: follow next step

Q: Find the indicated sum. 6 Σ E 9k k= 1

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Q: For Exercise, evaluate the sum if possible. 54 E (3k + 7) k=1

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Q: ? For the sequence 2, 8, 32, ...; Write the formula for the general term and use it to find ts

A: To find the general term and 8th term  of the given sequence :-

Q: Use the formula n(n+ 1) Σ 2 to compute the sum 99 s =Er.

A: 1. Given, ∑r=1nr=nn+12 Use the formula to find the sum S=∑r=199r.

Q: For Exercise, find the sum of the geometric series, if possible. 36 – 12 + 4 3

A: Given:

Q: a, =-3, a = r %3D 64

A: a1= -3 ,an= -3/64 ,r=1/2

Q: Compute each sum below. If applicable, write your answer as a fraction. (2) + (2) + (2)' +... + +…

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Q: For Exercise, find the sum. 20 Σ6 j= 1

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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.…

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Q: Find the indicated sum.

A: Given that ∑ i=14 -12i. Compute the sum as follows.

Q: 4. Apply the Sum Formula 1, 2 and 3 to find the sum for n = 13, 15 and 18.

A: The sum formula for n natural number is n(n+1)/2.

Q: For Exercise, find the sum. Σ@1 + 7) i= 1

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Q: For Exercise, find the sum. 15 Συ-3) j=1

A: We write the sum as two parts

Q: Find the indicated sum. i! Σ (i- 1)! i= 4 8 i! Σ (i- 1)! i= 4

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Q: Evaluate each geometric sum.

A: Sn=a(1-rn)1-ra is the first termr is th ratio

Q: Find the indicated sum.

A: Explanation: Given that,  ∑i=15i!(i-1)!

Q: term, an

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

Q: The third term in the sequence with a = 6 and a = ap-1+5n where n > 1 i . O 31 O 21 O 16 O 36

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Q: Evaluate each geometric sum.

A: We have to evaluate the geometric sum: ∑k=020252k In this case we have to substitute k=0 to 20,…

Q: In the sequence: 12,14,16,18,...., find the following: a. 7th term b. 13th term c. 26th term d. S10…

A: For an arithmetic sequence, the sum of first n-terms, Sn is calculated using the formula:…

Q: Determine the number of terms n in each arithmetic series. 10) a,--8, a--125, S--931 A) 11 B) 15 D)…

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Q: Evaluate each geometric sum.

A: To find the sum of ∑14kk=010 Expanding the above geomertic sequence.…

Q: Compute each sum below. If applicable, write your answer as a fraction. (-+) + (-4)' + (-4)' + . - +…

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Q: 5 E (i- 4) i = 1 in

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Q: Compute each sum below. If applicable, write your answer as a fraction. 6. 5+ 5 + 5 +5 8. E (-2) = 0…

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Q: Find the indicated (shown) sum:

A: We have to find the sum: ∑i=15i!i-1! Here ∑ means addition of all the terms after putting i=1 to i=5…

Q: Compute each sum below. If applicable, write your answer as a fraction. 3+ 3 + 3 +... † 3 4 8. E…

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Q: a. Find the formula of the following sequence: 3 8 15 24 35 6' 25'62'123'214' ...

A: Given that a sequence 3/6, 8/25, 15/62, 24/123, 35/214...... Find the formula for this sequence.

Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 2, 6, 18,…

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Q: a, =-8, r=- 1 n = 9 %3D

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Q: Find the indicated (shown) sum:

A: we have  ∑i=142i2

Q: Compute each sum below. If applicable, write your answer as a fraction. (-1) + (-)* + (-3)' + .. . +…

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Q: Compute each sum below. If applicable, write your answer as a fraction. 2. 7. () 5 + 5 + 5 + 5 9 %3D…

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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.