The fourth term of an arithmetic sequence is 11, and the sixth term is 17. Find the second term.

Q: The 12th term of an arithmetic sequence is 59, and the fifth term is 31, Find the 20th term. 820 =

A: Topic = Sequence

Q: If the third term of a geometric sequence is 12,500 and the sixth term is 800 find the first term…

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Q: Write an explicit formula for the nth term of the arithmetic sequence where the fourth term is 28…

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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 of the arithmetic sequence with the given values. 2 %3D a = 5' 15 n=614

A: Given : a1 = 65d = 215n = 614

Q: The sixth term Of a geometric sequence consisting of positive integers is 96 and the tenth term is…

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Q: Find the sixth term of the geometric sequence withfirst term 10 and common ratio 3.

A: We have to find 6th term of the geometric sequence where first term is 10 and common ratio is 3. We…

Q: Find the indicated term of the geometric sequence. 2,6, 18, ...; a7

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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: 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 28th term of an arithmetic sequence where the fourth term is 33 and the tenth term is 15.…

A: Find the common difference, d:

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 12th term of an Arithmetic sequence is 240 while the 7th term is 196. Find the 10th term of the…

A: Consider the given 12th term of an Arithmetic sequence 240 and  term 7th of an Arithmetic sequence…

Q: If the fourth term of an arithmetic sequence is 13 and the second term is 3, find the 24th 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: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, -6, 9, -13.5....

A: Given:               4, -6, 9, -13.5,..........     The given statement is the geometric sequence:…

Q: Find for the 10th term of a geometric sequence whose first term is -3 and whose common ratio is -2.…

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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 nth term of the arithmetic sequence with the first term −2, common difference 3, and n =…

A: Given: The first term =-2 Common difference =3 n=10 To determine: nth term of the sequence.

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: 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: If the 3rd term of an arithmetic sequence is 13 and the 9th term is 37, what is the common…

A: nth term of arithmetic sequence is goven by,         an = a1 + (n - 1)d      where a1 is first term…

Q: If the second term of a geometric sequence is 250 and the fifth term is 16, what is the common…

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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: 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: Write the first four terms of the sequence whose nth term, or general term, is given: an = 3n + 4

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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: The first term of a geometric sequence is 12, and the third term is 16/3. Find the fifth term.…

A: Given that first term of the geometric sequence is 12. Third term of the third term is 16/3. We have…

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: Find the 7h term of the geometric sequence:

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

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Q: The 5th term of an arithmetic sequence is 47 and the 17th term is 152. Find the first term and…

A: general term of arithmetic sequence  an=a+(n-1)d .........(1)where a=first term and     d=common…

Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36.Calculate the sum of the…

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Q: The 12th term of an arithmetic sequence is 34 and the fifth term is 20. Find the 20th term.

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

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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: Find the 8th term of a geometric sequence where the second term is 6 and the common ratio is 2. *

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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: Find the 13th term of the arithmetic sequence whose common difference is d=7 and whose first term is…

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Q: The fourth term of an arithmetic sequence is 14, and the 20th term is 110. Find the common…

A: As we know that the nth term of the arithmetic sequence is: tn=a+(n-1)d Where 'a' is the first term…

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.2, 6, 10, 14,.....

A: Given: The arithmetic sequence 2, 6, 10, 14, ..., To find: nth, 5th, 10th term of the sequence.…

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: Find the 22" term of the arithmetic sequence whose common difference is d=2 and whose first term is…

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Q: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…

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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…

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.