Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues. {6,7, 8, 9, 10, .} Assume the first term is a1.

Q: Find the sixth term of a geometric sequence whose second term is 3 and whose fourth term is 1/3.…

A: Now dividing equation (2) by equation (1), we get Therefore sixth term is,

Q: Find the 12th term of the geometric sequence 1, –4, 16, ...

A: Given  Geometric sequence   1,-4,16..... To do find the 12th term of the given sequence.

Q: An arithmetic sequence has a its 5 th term equal to 22 and its 15 th term equal to 62. Find its 100…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Find a formula for the general term a, of the sequence assuming the pattern of the first few terms…

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Q: Find OF the Formula For the nth term Sequence: 0, 1,3, 6, 10,15,21,28,36, 45,55, 66,78,91,105,...

A: now in this question, we have to find the nth term of the sequence using given data.

Q: Write a rule for the n th term of the geometric sequence for which a, = 64 and a,=1.

A: Solving by geometric sequence we have

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The given sequence is: To find the general formula.

Q: Find the fifth term of the geometric sequence withfirst term 64 and eighth term1/2.

A: First term=a1=64Eighth term=a8=12 Now consider, a8=12⇒a1·r7=12…

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. -6, -1, 4, 9, ..., n =…

A: We will find the 100th term first and will add first 100 term to find nth partial sum for n= 100

Q: Write a rule for the n th term of the sequence for which a =3 andr Identify the first six terms of…

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Q: Find r for the infinite geometric sequence. Determine whether the sum will converge. 4, 12, 36, 108,…

A: Consider the geometric sequence,   4, 12, 36, 108

Q: Find the 37th term of an arithmetic sequence whose second and third terms are −4 and 12.

A: Note:-  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: find a formula for the nth term of the sequence. 1, 0, 1, 0, 1,...

A: Given the series:1, 0, 1, 0, 1…

Q: Find a formula for the general term a, of the sequence assuming the pattern of the first few terms…

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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 a formula for the general term a, of the sequence assuming the pattern of the first few terms…

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Q: Find the nth term an of a sequence whose first four terms are given. -1, 4, -9, 16,...

A: nth term is given.

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Find the sum of the 3rd and the 7th term of the sequence: 1, 4, 13, 40, 121, ...

A: We have to find the sum of 3rd term and 7th term of the given sequence.

Q: How do I do that?

A: Given that an denotes the nth term of the sequence {10, –2, 10, –2, 10, –2, ….}.Note that the above…

Q: Find the specified term of the geometric sequence. 7th term: 5, 30, 180, ... a,

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Q: Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the…

A: Given: The geometric sequence,  2, 22, 242, ... To find: The formula for the nth term of the…

Q: find a formula for the nth term of the sequence. 0, 3, 8, 15, 24,....

A: Terms: 0, 3, 8, 15, 24, .... Difference of successive terms: 3 - 0, 8 - 3, 15 - 8, 24 - 15, .....…

Q: Find the nth term of a sequence whose first several terms are given. 3, 16' 25 an

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Q: find a formula for the nth term of the sequence. 1, 5, 9, 13, 17,...

A: 1, 5, 9, 13, 17,........ Clearly it is an arithmetic sequence with

Q: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: Find r for the infinite geometric sequence. Determine whether the sum will converge. 4, 8, 16, 32, .…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The given sequence is:  8, 7, 6, 5, 4, ...

Q: Find the sum of the first n terms of the geometric sequence with the given values. a, = 320, r= k --…

A: Given: a1=320r=-k2n=10 Also, the sum of  first n terms of the geometric sequence for negative value,…

Q: Find the 13th term of the geometric sequence 6, – 30, 150, ...

A: The first term is, a1 = 6  &, The common ratio is, r = - 5

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: find the nth term an of a sequence whose first four terms are given.  -1,4,-9,16...................

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

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Q: 6. Find the indicated nth term of the geometric sequence. 22th term : 8, 32, 128, ...

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Q: find a formula for the nth term of the sequence. 2, 6, 10, 14, 18,...

A: 2, 6, 10, 14, 18,........ It is an arithmetic sequence with

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 3 , 3, – 12, 48, .. The…

A: The geometric sequence is given by -34, 3, -12, 48,.... To evaluate : The sum of first 14 terms.

Q: Find the first 4 terms of the sequence with first term2 and nth term an = 2an-1 + 3.

A: Our Aim is to find the first 4 terms of the sequence with first term and nth term an=2an-1+3

Q: Find a formula for the nth term of the sequence. - 2, 1, 6, 13, 22, ... Determine the sequence's…

A: We have to find the sequence's formula in terms of n.

Q: Find the nth term of a sequence whose first several terms are given. 2, 5/4, 8/9, 11/16, 14/25

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Q: Find the indicated term of the geometric sequence. 6th term of 3, 3/4, 3/16…

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Q: Find a formula for the general term a, of the sequence assuming the pattern of the first few terms…

A: We have to find the general term for the given sequence.

Q: 1. Find the value of the 11th term in the sequence 2, 6, 18, 54, ...

A: Topic = Sequence

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given sequence, {11, 16, 21, 26, 31, ...}

Q: Find the indicated term of the geometric sequence whose initial term and common ratio are given.…

A: Topic - geometric serquence Note : as per bartleby Guidelines, we are supposed to answer only first…

Q: Find the seventh term of the geometric sequence from the given information. Express the term as an…

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