Find the 28th term of an arithmetic sequence where the fourth term is 33 and the tenth term is 15. Provide your answer below:

Q: Find the formula for the nth term for the arithmetic sequence where a₁ = 33 and d= -16

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: nth term of a geometric sequence is an=a1rn-1 Where a1 = First term             r = common ratio

Q: Write the first five terms of the sequence whose general term is an = (-1)n+1/n2 .

A: we have to write the first five terms of the sequence whose general term is given as an=(-1)n+1n2

Q: Write the first four terms of the sequence whose general term is given an = 2n/(n + 4).

A: The given sequence is an=2nn+4. Compute the first four terms as follows.

Q: Write the first four terms of the sequence whose general term is given below. (-1)^ 4 +1

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

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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 10th term of the geometric sequence show below -5x, 25a", -125x°, 2...

A: Given Data: Geometric Sequence: -5x, 25x5, -125x9, ... From the given geometric sequence,…

Q: Write the first four terms of the sequence whose general term is given, an =(-1)n+1/2n

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Q: Write the first four terms of the sequence whose general term is given. 2n an n+1

A: Given: an = 2nn+1 To find the a1, a2, a3, a4 substitute 1, 2, 3, 4 respectively in place of n

Q: Find the 58" term of the following arithmetic sequence. 17, 22, 27, 32, ...

A: Given sequence, 17, 22, 27, 32, ......

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: Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and…

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Q: Find the 78th term of an arithmetic sequence with a 1 = 64 and d= −11.

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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 38th term of the arithmetic sequence with a = 6 and d = 12. 467 450 O 479 395

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Q: Use the formula for the sum of the first n terms of a geometric sequence to find the indicated sum.

A: A geometric sequence is a sequence with a fixed ratio of consecutive terms. The ratio is called the…

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

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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: Use the formula for the sum of the first n terms of the arithmetic sequence to find the sum. 9. + 5…

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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: Find the 8th term of the geometric sequence show below 2a", 10a°, 50a,..

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Q: Find the infinite sum of the geometric sequence with a=4,r=28a=4,r=28 if it exists. S∞=

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Q: Find the 19th term of the arithmetic sequence whose common difference is d=3 and whose first term is…

A: We know that the nth term can be found as an=a+(n−1)d where a is the initial term and d is the…

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 sum of the following infinite geometric sequences: 84 21 18, 2, Answer: 8.

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Q: For an arithmetic sequence, 017 = 47. If the common difference is 5, find: a1 = the sum of the first…

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Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/3n…

A: The general term given is an=-1n3n-1.

Q: Find a5, the fifth term of the geometric sequence whose first term is a, = 7680 and whose common…

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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 formula for the geometric sequence below with n> 1. 3 9 27 81

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Q: Find the formula for the nth term of the sequence. 10

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

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Q: Find the 22 term of the arithmetic sequence whose common difference is d=4 and whose first term is…

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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: Write the first four terms of the sequence whose general term is given below. a, =(-1)h+1(n+ 2) a1

A: we have to find first 4 term of the sequence

Q: Find the 19th term of an arithmetic sequence with a1 = −11 and a30 = 163.

A: Using a1 = −11 and a30 = 163 find common difference dUSe the term formula of AP.

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 common ratio of the geometric sequence: {- 8, 56, – 392, 2744, 19208, ...} r =

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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: Find the first five terms of the sequence, given the nth term. An = 3(4")

A: given

Q: For a given arithmetic sequence, the 73rd term, a73, is equal to 528 and the 9th term, a9, is equal…

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Q: Find the indicated term a6 of the arithmetic sequence with first term, a1=5, and common difference,…

A: Given- a1=5 and d=3 To find- The value of the term a6. Identinty Used-  an=a+n-1d

Q: Write the first four terms of the sequence whose general term is given an = 3n/(n + 5).

A: The given general term of the sequence is, an=3nn+5 The objective is to find the first four terms of…