One of the formulas for finding the partial sum of an arithmetic sequence is Sn = n(a, + an). %3D O True O False

Q: If x + 1, 2x + 2 and 5x + 2 form a geometric sequence, find the value of the first term. O 4 O 2 O 5

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Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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Q: Write the first four terms of the sequence defined by the recursive 2+an-1 formula a1 = -14 . /(5…

A: The solution are next step

Q: The first term of an arithmetic sequence is 12, and the tenth term is 4. (a) Find the common…

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Q: A partial sum of an arithmetic sequence is given. Find the sum. 3 + 6 + 9 +... + 324

A: 3+6+9+...+324 the first term is  a1=3 find the common difference d=6-3 d=3 . and the last term is…

Q: A partial sum of an arithmetic sequence is given. Find the sum. -5+(-5/2)+0+5/2+5+...50

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Q: Find the explicit formula for the general nth term of the arithmetic sequence described below.…

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Q: Find the partial sum S10 for the arithmetic sequence with a = 5, d = 4. S10

A: We need to find sum of the series.

Q: A partial sum of an arithmetic sequence is given. Find the sum. 0.9 + 3.9 + 6.9 + . . . + 78.9 S =

A: Partial sum of an arithmetic sequence is given as- 0.9+3.9+6.9+. . . +78.9 To find the sum S. Here…

Q: Find the explicit formula for the arithmetic sequence Cn given below - note that c1=−4.…

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Q: An arithmetic sequence is defined as consecutive terms that have a common difference. O True O False

A: NOTE: Refresh your page if you can't see any equations. . the nth term of the arithmetic sequence is…

Q: In a(n) _____  sequence, the ratio of successive termsis a constant.

A: A sequence in which ratio of successive terms is a constant is called a geometric sequence. Consider…

Q: A partial sum of an arithmetic sequence is given. Find the sum. 1 + 5 + 9 + . . . + 377 S =

A: We can find the sum as below.

Q: Homework: 1) Find the partial sum sn of the arithmetic sequence that satisfies the given conditions.…

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Q: An arithmetic sequence is given below. 18, 14, 10, 6, .. Write an explicit formula for the n th term…

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Q: d the partial sum S11 for the arithmetic sequence with

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Q: A partial sum of an arithmetic sequence is given. Find the sum. 3 + 6 + 9 +... + 288 = S

A: First find the common difference and total number of terms of the given sequence than use the…

Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. a = 5, r = 2,…

A: Given values are a=5, r=2 and n=5. The sum formula of geometric series is Sn=arn-1r-1.

Q: Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions. a = -4, d =…

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Q: Find the partial sum S10 for the arithmetic sequence with a = 8, d = 4. S1o =

A: Find the 10th term for the arithmetic sequence.

Q: Find the partial sum Sn  of the arithmetic sequence that satisfies the given conditions. a = -45, d…

A: Use sum formula for given AP

Q: The non-recursively defined formula for writing an arithmetic sequence is given by: an = C+ (n -…

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Q: Find x so that x, (x + 2), and (x + 3) are consecutive terms of a geometric sequence.

A: In this question, we will find the value of x which will satisfy the conditions of a geometric…

Q: A partial sum of an arithmetic sequence is given. Find the sum. 가(-글)+ 0+글 -7 + + 0 + + 7 + ... + 70

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Q: Find all possible values of r for a geometric sequence with the two given terms.a3 = 4, a7 = 1/4

A: To find: The value of common ratio of geometric sequence  r. Given; The 3th term is 4 and 7th term…

Q: Find the partial sum S17 for the arithmetic sequence with a = 3, d = 5. S17 %3D

A: We know that, sum of n terms of an arithmetic sequence is given as Sn=n22a+n-1d Here, a is the first…

Q: A partial sum of an arithmetic sequence is given. Find the sum. 18 2 (4 + 0.24k) k = 0

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Q: Find the partial sum S18 for the arithmetic sequence with a = = 3, d = 8. S18

A: In airthmetic sequence sum of n terms is given by -

Q: Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions. a2 = 7, a5…

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Q: Write a recursive formula for the sequence represented by the explicit formula. a, = 8.2(8)n - 1…

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Q: Find the partial sum S11 for the arithmetic sequence with a = = 3, d = 9. S11

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Q: An arithmetic sequence will always have a common ratio. O True O False

A: In an Airthmetic sequence the difference between one term and the next is a constant.We just add the…

Q: Find the partial sum S20 for the arithmetic sequence with a = 6, d = 6.

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Q: Find the partial sum S, of the arithmetic sequence that satisfies the given conditions. a2 = 9, a5 =…

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Q: find the sum, if it exists, of the infinite geometric sequence described by an =64(1/4)n-1

A: Sum = a/(1-r) ; where 'a' is first term and 'r' is the common ratio.

Q: For sequence A, describe a way to produce each new term from the previous term. Sequence A term…

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Q: A partial sum of an arithmetic sequence is given. Find the sum. 14 E (3 + 0.26k) k = 0 S =

A: We need to find sum of sequence.

Q: The first term of an arithmetic sequence is 13, and the tenth term is 5. (a) Find the common…

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Q: Let the arithmetic sequence be defined by the formula a = 5 + (n-1) * 7 Apply the concepts of adding…

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Q: A partial sum of an arithmetic sequence is given. Find the sum. 4 + 10 + 16 + . . . + 616 S =

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Q: The general term of a sequence is given an = -2(n - 1)! and involves a factorial. Write the first…

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Q: Find the sum of the following infinite geometric sequence. If it has no sum, type "Diverges" or "D".…

A: Solution

Q: a. Write the first five terms of the sequence defined by an = 2n + 3. b. Evaluate (2i + 3)- c. Use…

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Q: If a2 = 10 and a4 = 40, then the common ratio of the geometric sequence IS O 1 O2 3. O10 04

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Q: Write an explicit formula for the nth term of each arithmetic sequence. Then, find the sixth term.…

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Q: Find the partial sum S, of the arithmetic sequence that satisfies the given conditions. a2 = 9, a5 =…

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Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 19. - 12. -5. 2. . The sum is

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Q: Find a formula for the general term an of  the sequence,assuming that the pattern of the first few…

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Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6

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.