The tenth term of an arithmetic sequence is 32, and the fifth term is 16. Find a, d, and the 20th term. a20 || a = d =

Q: ch each arithmetic sequence with its explicit formula. 3, 7, 11, 15, 19,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 4 and the common difference is 3,…

A: we use the formula of nth term an=a+(n-1)d.and solve the question. see 2nd step.

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: In an arithmetic sequence (a1, a2, a3, the first term is 5 and the 15th term is 61, then S15 is 555…

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Q: Find the nth term and the indicated term of the arithmetic sequence {a_(n)} whose initial term, a,…

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Q: In an arithmetic sequence {a1, a2, d3, - the first term is 6 and the 11 term is 46, then S1 is 330…

A: Use the formula for the sum of  n terms of an arithmetic sequence.

Q: Given a geometric sequence with a2 = 3 and a5 = -81, find r and a9.

A: Explanation: a2=a1.r2-1           or   a5=a1.r5-1      3=a1.r1  ----1 -81=a1.r4   ----2Dividing…

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

A: The question is solved for arithmetic sequence

Q: For an arithmetic sequence, a25 32. If the common difference is 1, find: a1 = the sum of the first…

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Q: Given the arithmetic sequence -9, -4, 1, 4, Which term has a value of 166? O 38 O 36 O 35 O 37

A: Given Arithmetic sequence = -9, -4, 1 ......... nth Term is given as 166

Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

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Q: (a) Find the first four terms of the sequence defined by a, = n². a1 = a2 = аз a4 %3D

A: (a) A sequence is given by an=n2 We need to find first four terms of the sequence.…

Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal…

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1…

Q: 2. The first term of an arithmetic sequence is -15 and the fifth term is 13. Find a40.

A: We can find the answer as below.

Q: 26. Write the third, fourth and-fifth terms of the sequence whose nth term is given by the following…

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Q: 6. Find the 15th term of the arithmetic sequence whose common difference isd = -5 and whose first…

A: Given: Common difference ,d = -5 and the first term of the arithmetic sequence  is a1= 10 To find:…

Q: S) Predict the nth term of the sequence, given the first five terms. a1 = 2, az = 5, az = 10, a4 =…

A: Given: first 5 terms area1=2; a2=5; a3=10; a4=17; a5=26

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

A: Given: An arithmetic sequence : 18,14,10,6, ... To find: An explicit formula for the nth  term an.

Q: A. For each sequence, determine whether the sequence is arithmetic (A), geometric (G), or neither…

A: see below the answer

Q: Find the second, third, and fourth terms of the geometric sequence with c1=8 and r=−1/2.

A: General term of GP

Q: Which of the following sequences is an arithmetic sequence? Select all correct answers.

A: We have to find the arithmetic sequences from the following sequences.

Q: Determine the first five terms of the arithmetic sequence {an} with a1 = 4, and d = 8.

A: Given: to find first five terms of the arithmetic sequence with a1 = 4, and d = 8.

Q: Find the sum of the first 30 terms of the arithmetic sequence. an = -3n + 27

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Q: In an arithmetic sequence {a1, a2, a3, -} the first term is 5 and the 19th term is 95, then S19 is

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Q: The third term of a geometric sequence is 9, and the common ratio is 3/2 . Find the fifth term.

A: nth term of a geometric sequence  an = arn-1    a3 = 9 r = 3/2

Q: a12 for 96, 48, 24, ...

A: In General, we write a Geometric sequence ,                   a, ar, ar2, ar3....where , a is the…

Q: 5. The third term of an arithmetic sequence is 28, while the fourth term is 41. Write the sum of the…

A: Given:  Third term of arithmetic sequence =28                fourth term     =41  To find : Sum of…

Q: tind the nth partial sum of the arithmetic sequence for the given value of f n. -6,-1,4,9,,.. n=120

A: -6,-1,4,9,....... n=120 And a1  = first term= -6  Second term = a2 = -1 So d = common difference =…

Q: In an arithmetic sequence {a1, a2, a3, ·} the first term is 7 and the 14th term is 46, then S14 is…

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Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.3, 2.7, 2.4,…

A: Given information: The arithmetic sequence is 3, 2.7, 2.4, 2.1,.... Concept used: The nth term of…

Q: Find the 500th term of an arithmetic sequence with a1 = 6.9 and d = 0.3.

A: Given,a1 = 6.9 and d = 0.3The formula for nth term is,an = a1 + (n – 1) d …(1)

Q: In an Arithmetic Sequencea1, a2,.an, the first term is 7 and the 11 term is 57, then S is

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

Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. a, a + 5, a + 10, ... ag = a24 = an =

A: Given arithmetic sequence is  a, a+5, a+10, ..... where  first term = acommon difference d =…

Q: 1) Write the first four terms of the sequence an = n³.

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Q: 1. Find the 12 th term of an arithmetic sequence with a =-11 and a30 = 105

A: we have to solve the problem

Q: Find the indicated term of the geometric sequence. an= (n-1) 6, where a1 = -2. Find a4. %3D a4=

A: We will solve the given question using two different methods. In the first method we will solve step…

Q: B. Write a formula for the general term of each infinite sequence. 1. 3, 5, 7, 9, ... 2. 1, 4, 9,…

A: As per the company guidelines we are suppose to answer first question of two subparts.Kindly repost…

Q: Find the sum of the first 50 terms of the arithmetic sequence. an -5n – 6 ||

A: The arithmetic sequence is given by an = -5n-6 To evaluate: The sum of the first 50 terms of the…

Q: A geometric sequence has 7 terms, if the first term is 4 and the last term is 256, then the middle…

A: In this question we are given with that the series is it geometric sequence and we are given with…

Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

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Q: th For a given arithmetic sequence, the 36 term, a36, is equal to 142, and the 87 term, ag7, is…

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Q: 12. The 8th term of an arithmetic sequence is 16, and the 18th term is 56. Find the sum of the first…

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Q: find the sum of the first 60 terms of the arithmetic sequence given by: -5,-2,1,4,7   Formulas:…

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Q: Find the specified term of the arithmetic sequence that has the two given terms.a11; a1 = 2 + √2,…

A: a1=2+2a2=3

Q: Find the 10th term of the geometric sequence in which a 1 =1 and r = 2.5

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Q: The first three terms of an arithmetic sequence are given. Find an expression for t in terms of n,…

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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: If two terms of an arithmetic sequence are a₁₁ = 26 and 815 = -10, what is 828? -226 O-217 O-127…

A: I have stated the used formula in the solution.

Q: If the 100th term of an arithmetic sequence is 589, and its common difference is 6, then its first…

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Q: <th For a given arithmetic sequence, the 6 term, a, is equal to 26, and the 35 term, azs, is equal…

A: Let a be first term of A.P.  And, d be the common difference, then

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.