A sequence is described by k= 11–5(n– 1). Note that we do not always use a in the formula for a sequence; any variable (other than n, r, or d) can be used. List the first 4 terms of the sequence. Is the sequence arithmetic or geometric? Arithmetic Geometric Find the value of the 40th term. 圓

Q: consider the sequence (a^n)n≥0 which starts 3,14,25,36,.... a. what is the next term in the…

A: Let an be the nth term of the sequence. First write the general term, an for the sequence and use…

Q: An arithmetic sequence is given b elow. 28, 22, 16, 10, ... Write an explicit formula for the n th…

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Q: Find, with explanation, a diginacci sequence that has no term that's value is 11.

A: We have to solve only part (c): ( Mentioned above) We have to find the Diginacci Sequence, with  no…

Q: Write an expression for the apparent nth term a, of the sequence. (Assume that n begins with 1.) 5 6…

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Q: For each geometric sequence, find a recursive rule by finding the common ratio by calculating the…

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Q: The first term ao of a geometric sequence is -10, and the common ratio r is -3. What is the…

A: The formula for the nth term of a geometric sequence is given by an=a0rn-1, where a0 is the first…

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: The sequence given by a, = ar"- is a geometric sequence in which a is the first term and r is the So…

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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: The first term of an arithmetic sequence is -4. The fifth term of that arithmetic sequence is 16.…

A: Given: The first term of the arithmetic sequence is -4, i.e. a=-4.            The fifth term of the…

Q: Consider the sequence given by an = 2 – 6n. a. Find the first 6 terms of the sequence. What sort of…

A: If the difference between two successive terms in a sequence is constant, then the sequence is an…

Q: An arithmetic sequence is given below. 18, 14, 10, 6, .. Write an explicit formula for the n th term…

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Q: For each geometric sequence, find a recursive rule by finding the common ratio by calculating the…

A: Soln for the given geometric sequence            common ratio r = r2r1…

Q: find the values of k so that the numbers 2k+1, 3k+4 and 7k+ 6 form a geometric sequence

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Q: An arithmetic sequence is given below. 22, 17, 12, 7, th Write an explicit formula for the n term a

A: We have to write the formula for nth term or an for the given sequence: 22, 17, 12, 7, .... We know…

Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for a, to…

A: A geometric sequence is an=arn-1 Where an is the nth term, a is the first term and r is the common…

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

A: We can find the general term an   as below

Q: Find the explicit formula for the geometric sequence tn given below. Note that tj =7. 7, 14, 28, 56,…

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Q: An arithmetic sequence is given below. 14, 11, 8, 5, ... th Write an explicit formula for the n""…

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Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: we have to write the first four terms of the given sequence whose general term is given as an=n2n!

Q: Find the first 10 terms of the sequence an Its 9th term is Its 10th term is 1 an-1 and a₁ = 18.

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Q: Write an expression for the apparent nth term (a,) of the sequence. (Assume that n begins with 1.)…

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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: Write an explicit formula for the nth term of a sequence Question Find an explicit formula for the…

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Q: An arithmetic sequence is given below. 16, 13, 10, 7, ... th term an Write an explicit formula for…

A: Please refer the attached image for complete solution. THANK YOU.

Q: The sequences below are either arithmetic sequences or geometric sequences. For each sequence,…

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Q: (3) Consider the sequencex + 3,x + 7,4x – 2,........... (a) If the sequence is arithmetic, find x…

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Q: Consider the sequence given by an = 2 · 3n-1. a. Find the first 4 terms of the sequence. a1 = , A₂=…

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Q: The first term of a geometric sequence is 3. The third term of that geometric sequence is 432. Find…

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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: Use the recursive definition to find the first four terms of the arithmetic sequence it defines. an…

A: To find the first four terms

Q: 11. It is a sequence where every term after the first is obtained by multiplying a nonzero constant.…

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Q: Find a formula for the nth term of the sequence. 3, 10, 29, 66, 127, . Determine the sequence's…

A: When ,f(1) = 3 ⇒13+2f(2) = 10 ⇒23+2f(3) = 29 ⇒33+2f(4) = 66 ⇒43+2f(5) = 127 ⇒53+2

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

A: Given : 6, 3, 0, -3, -6,…

Q: Write an expression for the apparent nth term (a_n) of the sequence. (assume that n begins with 1.)…

A: Given that: -8/9, 9/10, -10/11, 11/12, -12/13, ....

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

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Q: Write an expression for the apparent nth term (a,) of the sequence. (Assume that n begins with 1 1 1…

A: We have to find nth  term

Q: The general term of a sequence is given an = -2(n - 1)! and involves a factorial. Write the first…

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Q: 3. An arithmetic sequence is given by k,,, 0. 0,.... (a) Find the sixth term. (b) If the 20th term…

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

A: Given sequence be an arithmetic sequence.

Q: Determine the explicit formula for the nth term of the sequence written below. Note that the first…

A: To determine the explicit formula for the nth term of the sequence written below.14, 13, 25, 49,…

Q: Find a formula for the general term an of the sequence assuming the pattern of the 4 16 64 256 1024…

A: we have to find out the nth term

Q: An arithmetic sequence is given below. 15, 12, 9, 6, ... th Write an explicit formula for the n term…

A: Given arithmetic sequence 15, 12, 9, 6, ......... We have to find nth term, an.

Q: A geometric sequence has a first term of 8/3 and a fourth term of 9. C) the sum of the first k…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence, 1, 5, 9, 13,…

A: The given series is 1, 5, 9, 13, ...... The first term of the series is a=1. The common difference…

Q: write an expression for the apparent nth term (a„) of the sequence. (Assume that n begins with 1.)…

A: By "the nth term" of a sequence we mean an expression that will allow us to calculate the term that…

Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: The general term of a sequence is given as ,an=n2n!. To find the first four terms of the given…

Q: Write an expression for the apparent nth term (a,) of the sequence. (Assume that n begins with 1.)…

A: 91, 82, 73, 64, 55, ....... It is an arithmetic sequence with

Q: <th For a given arithmetic sequence, the 6 term, a, is equal to 26, and the 35 term, azs, is equal…

A: Let a be first term of A.P.  And, d be the common difference, then

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.