given arithmetic sequence, the 6th term, a6 , is equal to −39 , and the 37th term, a37 , is equal to −163 . Find the value of the 85th  term,  a85

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: Write the first four terms of the sequence whose general term is given an = (-1)n+1(n + 4)

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Q: In an arithmetic sequence, the first term, a1, is equal to 9, and the third term, a3, is equal to…

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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: For a given geometric sequence, the  1st  term,  a1 , is equal to  1916 , and the  4th  term,…

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Q: For a given geometric sequence, the  4th  term,  a4 , is equal to  −3127 , and the  8th  term,…

A: To find: The value of tenth term a10 Given information: a4=-3127, a8=-93 Concept used: The general…

Q: Write the first four terms of the sequence whose nth term, or general term, is given:

A: a. an=3n+4 Put n=1, 2, 3 & 4, we get a1=31+4=7a2=32+4=10a3=33+4=13a4=34+4=16 Hence the first…

Q: Write the first five terms of the sequence whose general term , an=(-1)^n(-4n)

A: Given that general terman=-1n-4nfirst term,a1=-11-4=4second term,a2=-12-4×2=-8third…

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, a1 = 9 and an = 2/3an-1 for…

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Q: For a given arithmetic sequence, the  75th  term,  a75 , is equal to  209 , and the  8th  term,…

A: Please refer to the image below

Q: write the first five terms of the sequence whose general term is  an=3(n!)

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Q: For an arithmetic sequence, a27 = 85. If the common difference is 5, find: a1 = the sum of the first…

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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: For a given arithmetic sequence, the  11th  term,  a11 , is equal to  −49 , and the  38th  term,…

A: Consider the following formula: an=a+n-1dhere,first term=adifference between two consecutive term=d…

Q: For a given arithmetic sequence, the 95" term, aos, is equal to -781, and the 12 term, a,2, is equal…

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Q: For a given arithmetic sequence, the 80th term, ago, is equal to 314, and the 4th term, a4, is equal…

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Q: For a given arithmetic sequence, the common difference,d, is equal to -8, and the 89th term, a89, is…

A: First of all we will find the first term of the given arithmetic sequence and then use this first…

Q: Find the next term of the sequence. 1, 16, 81, 256, . .

A: The given series is of the form,  (n+1)4 Given, 1,16,81,256,...

Q: Find the specified term of the arithmetic sequence that has the two given terms.a10; a2 = 1, a18 =…

A: We have to find a10 of the arithmetic sequence which has given two terms: a2=1 and a18=49. We know…

Q: For a given arithmetic sequence, the first term,  a1 , is equal to  11 , and the  36th  term,…

A: The n-th term of an arithmetic sequence with first term a1 and common difference d, is given by, an…

Q: Write the first four terms of the sequence whose nth term, or general term, is given:

A: The first four terms of the sequence  n = 1, 2, 3, 4 a)        an=2n+5 First term: n = 1…

Q: is equal to 240, and the 5" term, ac, is equal to 36. a73 term, For a given arithmetic sequence, the…

A: A sequence is funfction  from the set of natural numbers to the set of real numbers. A sequennce can…

Q: For a given arithmetic sequence, the 39th term, a39, is equal to 265, and the 76th term, a76, is…

A: topic- arithmetic sequene

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: For a given geometric sequence, the  11th  term,  a11 , is equal to  4325 , and the  14th  term,…

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Q: Write the first four terms of the sequence whose general term is given.   an = (-10)n+1 a1= a2= a3=…

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Q: For a given arithmetic sequence, the 90 term, aon, is equal to 296, and the 6 term, a, is equal Find…

A: Given: a90=296a6=44 To find the 34th term

Q: Find the 16th term of the arithmetic sequence whose common difference is d=9 and whose first term is…

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Q: For a given arithmetic sequence, the common difference,  d , is equal to  −4 , and the  3rd…

A: Given data set: Common difference = d = -4 Third term (a3) = 21   We need to calculate the value of…

Q: Write the first five terms of the sequence whose general term is an = 7/n! Write simplified…

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Q: Find a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: Write the first four terms of the sequence whose nth term is given by the formula  an=3n

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Q: Write the first five terms of the sequence whose first term is 9 and whose general term is An-1 if…

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Q: For a given arithmetic sequence, the 89th term, a89, is equal to -415, and the 11th term, a11, is…

A: Topic = arithmetic sequence

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: Write the formula for the nth term of the sequence: 2, 5, 8, 11, ...

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Q: Find the 13th term of the arithmetic sequence whose common difference is d = 8 and whose first term…

A: Our objective is to find the 13th term of AP

Q: Find the 15th term of the arithmetic sequence whose common difference is d = 7 and whose first term…

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Q: For a given geometric sequence, the  8th  term,  a8 , is equal to  239 , and the  11th  term,…

A: The nth term of the G.P series is given by an=arn-1 where a is the first term and r is the common…

Q: Write the first four terms of the sequence whose general term is given below. an = (- 1)*'(n + 2)

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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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Q: For a given geometric sequence, the  5th  term,  a5 , is equal to  174 , and the  8th  term,…

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Q: find the 16th term of the arithmetic sequence whose common difference is d=9 and whose first term is…

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Q: For a given arithmetic sequence, the first term, a1, is equal to -28 and the 33rd term, a33, is…

A: Topic =  Arithmetic sequence

Q: Find the 72nd term of the sequence with a1=-3 and d=5

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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…

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.