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

Q: Find the common difference of the arithmetic sequence –6, –13, –20, ...

A: Question is solvled.

Q: Write the first five terms of the geometric sequence whose first term is 5, and whose common ratio…

A: Given, the first term is 5 and common ratio is 3.

Q: The 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term…

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Q: Find the 81st term of the arithmetic sequence 24, 11, -2, ...

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Q: Find the sum of the first eight terms of the arithmetic sequence in which the fourth term is 9 and…

A: a4=9  &  d=-5 Now consider, a4=9⇒a+3d=9⇒a+3-5=9⇒a=24

Q: Find the seventh term of the geometric sequence whose first term is 5 and whose common ratio is -3.

A: The give sequence is geometric sequence. First term is 5 and common ratio is -3.

Q: Find the eighth term of the arithmetic sequence withfirst term -3 and common difference 4.

A: Given : First term is -3  Common difference is 4

Q: Write an equation for the nth term of the given arithmetic sequence. –5, –12, –19, –26, ...

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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: Find the infinite sum of the geometric sequence with a = 6, r 2 if it exists.

A: Here,  a=6, r=2/6

Q: Find the 12th term of the geometric sequence if the first term is 2 and common difference is 3.

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Q: Find the first term and the common difference of the arithmetic sequence where the 7t" term is 12…

A: Given: The arithmetic sequence whose 7th term is 12 and the 13th term is 18. To Find: a. The first…

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 common difference of the arithmetic sequence –5, –14, –23, ..

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

A: Here I am providing the handwritten solution

Q: The first term of an arithmetic sequence is -1 and the fifteenth term is 27. Find the sum of the…

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Q: Find the sixth term of the geometric sequence whose first two terms are 4 and 6.

A: There are many names if the set of numbers follows a specific pattern to write the terms. They are…

Q: Find the 70 term of the following arithmetic sequence. 5, 13, 21, 29,...

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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: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

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Q: Find the 86th term of the arithmetic sequence 16, 18, 20, ...

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Q: Find the 8th term of the geometric sequence 6, 18, 54, ...

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Find the 57 term of the following arithmetic sequence. 13, 20, 27, 34, ...

A: Given arithmetic sequence 13, 20, 27, 34, ......... We have to find 57th term.

Q: Write a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8, 14, . . . .

A: we have to write  a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8,…

Q: Find the eighth term of the geometric sequence whose second and fourth terms are 0.2 and 5.

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Q: If the third term of an arithmetic sequence is 4 and the seventeenth term is -66​, find eighth the…

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Q: Find the 12th term of the geometric sequence 7, –35, 175, ...

A: Solving the problem by obtaining the 12th term of the sequence.

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: Find the common difference d for the arithmetic sequence 4, 5, 6, 7,...

A: The arithmetic series is given as 4, 5, 6, 7...

Q: Write a formula for the general term (the nth term) of the arithmetic sequence : -2, 8, 18, 28,…

A: The given sequence is -2, 8, 18, 28,...   formula used: an=a1+n-1d an=nth terma1=1st termd=common…

Q: Find the eighth term of the geometric sequence whose first term is -4 and whose common ratio is -2.

A: Known fact: The nth term of a geometric sequence is given by an=a·rn-1 where a is first term and r…

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

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Q: If the common difference of an arithmetic sequence is 4 and a(6 ) = 15, find the first term of the…

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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: Find the 13th term of the geometric sequence 7, 21,63, ...

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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: Find the nth term of the geometric sequence. -4, 20, -100,... an

A: This is geometric series . Here is given solution with steps.

Q: Find the 66th term of the arithmetic sequence 25, 10, -5, ...

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Q: Find the 18th term of the arithmetic sequence 3,10, 17, 24, ....

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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 9th term of the geometric sequence 8, 32, 128, ...

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

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Q: Find the 97th term of the arithmetic sequence 17, 26, 35,

A: The given arithmetic sequence is 17,26,35,....... The first term of A.P. is 17. The common…

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: Find the 40th term of the arithmetic sequence with a, = 150 and a common difference of d= -4. 1. -6…

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Q: For an arithmetic sequence, a14 = 43. If the common difference is -8, find: the sum of the first 59…

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