The fourth term of an arithmetic sequence is 14, and the 20th term is 110. Find the common difference, the first tem and the 40th tem.

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....

A: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....…

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.-7, -3.9, -0.8,…

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Q: Determine the common ratio, the 6th term and the nth term of the geometric sequence: 4, 12, 36, 108,…

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Q: in an arithmetic sequence, the first term, a1, is equal to 1, and the seventh term, a7, is equal to…

A: The nth term of an arithmetic sequence is given by an = a1 + (n – 1)d where a1 is the first term and…

Q: The first term is 25, and the common difference is 18. Which term of the sequence is 601?

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Q: The second term of a geometric sequence is 6 and the fourth term is 96. Find the possible values of…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Find the 6th term of a geometric sequence is the first term is 2 and the common ratio is 3 a6=

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Q: The 20th term of an arithmetic sequence is 96, and the common difference is 5. Find the nth term.

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Q: Find the first term of an arithmetic sequence if the 9th term is 72 and the common difference is 5.…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence whose second term,…

A: The second term, a2, is 4 The sixth term, a6, is 16. Formula used: an=a1+n-1d where a1 is first term…

Q: The second term of a geometric sequence is 10, and the fifth term is 1250/27 . Find the nth term.

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Q: The 7th term of an arithmetic sequence is -37, and the 10th term is -121. Find a,d and the general…

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Q: The third term of a geometric sequence is 5, and the sixth term is -40. Find the eighth term.

A: The nth term of a geometric sequence is given by an=a1rn-1, where a1 is the first term of the…

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.16, 13, 10, 7,…

A: Given: 16, 13, 10, 7,...

Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: Find the 20th term of the geometric sequence given the first term is -7 and the common ration is…

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.2, 6, 18, 54,...

A: The geometric sequence is: 2, 6, 18, 54,..... We have to find the fifth, eighth and the nth term of…

Q: For an arithmetic sequence, a2 13. If the common difference is 8, find: || the sum of the first 37…

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Q: For an arithmetic sequence, a4 = 60. If the common difference is 7, find: aj = the sum of the first…

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.300, -30, 3,…

A: Given geometric sequence is 300, -30, 3, -0.3, ...

Q: Given the geometric sequence, find the 8th term: 4, –8, 16, –32, ...

A: The objective is to find the 8th term of the geometric sequence.

Q: Given an arithmetic sequence whose sixth term is 28 and eleventh term is 43, find the sum of the…

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Q: The sixth and eighth terms of an arithmetic sequence are -12 and -22. Find the fifteenth term. a15

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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: Find the indicated term of the arithmetic sequence with the given description.  The first term is…

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Q: Find the 22nd term of the arithmetic sequence whose common difference is d= -5 and whose first term…

A: We have to find 22nd term of the arithmetic sequence whose common difference is d=-5 and first term…

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.1, -√3, 3, -3√3,...

A: The given sequence is 1,  -3,  3,   -33,  ⋯⋯. Common ratio is r=-31=-3 and first term is a=1.

Q: The middle term of an arithmetic sequence equals 17, the last term = 32, and the fourth term = 11.…

A: Given middle term = 17 Last term = 32 Fourth term = 11 T4 = a+3d = 11 Middle term = T6 = a+5d = 17…

Q: Give the first 4 terms of the geometric sequence with a = 10 and r = 4. Give your answers as reduced…

A: Given: The first term of the geometric sequence is a=110and the common ratio is r=4. To find: · a1·…

Q: Write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . .Then use the formula for…

A: we have to write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . . also we have…

Q: The tenth term of an arithmetic sequence is 40 and the twentieth term is 30. Find the common…

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Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

A: 14, 11, 8, 5 ,...To find:da5ana100

Q: For a given arithmetic sequence, the 29 term, a,o, is equal to 243, and the 89" term, ago, is equal…

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Q: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

A: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

Q: The 7th term of an arithmetic sequence is −41, and the common difference is −2. Find the first term.

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Q: For an arithmetic sequence, a5 = 21. If the common difference is 4, find: a1 = the sum of the first…

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Q: In an arithmetic sequence, the first term is -8 and the sum of the first 20 terms is 790 Whats the…

A: By using sum of arithmetic sequence formula, we calculate the common difference of arithmetic…

Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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Q: Find the first term and common ratio of the Geometric sequence with a3=54 and a=162

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Q: Find the missing term of the geometric sequence. 1 ,16 4,

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Q: Find the 10th term of the arithmetic sequence whose first term is 5000 and the common difference is…

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Q: Given two terms in an arithmetic sequence, find the first term and the nth term 4) a, = 30 and a,…

A: Given that a11=30,a30=106. The above terms can be written as, a11=30a1+10d=30…

Q: Find the 15 term of the arithmetic sequence 1.18, 1.26, 1.34, ... the 15h term is

A: topic - arithmetic sequence

Q: Find the 10th term of the arithmetic sequence. 2, - 4, - 10, - 16, ... The 10th term is

A: Given : 2, -4, -10, -16

Q: Find the general term of an arithmetic sequence where the fourteenth term is 35 and the eighth term…

A: The fourtheenth term is 35The eighth term is 41.To find the general term of an arithmetic sequence.

Q: The 7th term of an arithmetic sequence is −44, and the common difference is −4. Find the first term.

A: The nth term of sequence is given by:…

Q: The twelfth term of the arithmetic sequence is 118, and the eighth term is 146. Find first term and…

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Q: In an arithmetic sequence, the first term is 7 and the 20th term is 83 then find the value of S20.

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Q: The tenth term of an arithmetic sequence is 32, and the fifth term is 16. Find a, d, and the 20th…

A: Given: The tenth term of the arithmetic sequence is 32. The fifth term of the arithmetic sequence is…

Q: Write the first 5 terms of Geometric sequence whose nth term is an = 6(1/2)n-

A: We will solve the problem