The sequence is defined recursively. Write the first four terms. 1) a1 = 5; an = an-1- 4

Q: Predict the general term, or nth term, an, for the sequence. 1 2 3 4 5 - - 5'6'7' 8' 9 an %3D II

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Q: Un=11n-7  Calculate  the first 4 terms of the sequence

A: For the first term, n=1, so Un=11(1)-7=4For the second term, n=2, so Un=11(2)-7=15For the third…

Q: Find the general term of the arithmetic sequence$$ 6, 2,-2,-6,... .$$ O $$an= -4n+10$$ $San=2n2-3$$…

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Q: Construct the explicit formula of the sequence -12, 12, -12, 12, -12,...

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Q: (b) Define Sequence? Find the first five terms of the following. (-1)"-1.2"*+1

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Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

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Q: Write the explicit formula of the sequence 25, 21, 17, 13

A: Given 25,21,17,13 It is in arthematic series Because it has difference 4 for each number.

Q: The first term of a sequence along with a recursion formula for the remaining terms is given below.…

A: Given, a1=1, an+1=-1n-1an2

Q: Write an explicit formula for the sequence 7, 2, -3, –8, –13, .. Then find a 14 а. = -5n + 12; –53…

A: Given sequence is This is an arithmetic sequence with first term a=7 and common difference d=2-7=-5…

Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

Q: A sequence can be generated by using an = 3a (n – 1), where a1 = 5 and n is a whole number greater…

A: Given,     an=3an-1,  where  a1=5 and n is whole number greater than 1.

Q: Use inductive reasoning to predict the next term in the sequence: 3, 4, 7, 11, 18, 29

A: Given sequence is 3, 4, 7, 11, 18, 29 We can observe that each term after the 2nd term in the…

Q: Write a recursive formula for an, the n" term of the sequence 17, 21,

A: Given that: The series is : 17, 21, 25, ....

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

A: Given:            an=n+1!n2 We calculate first four terms of the sequence, n=1, 2, 3 and 4…

Q: The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.…

A: Consider the given pattern. 4,-8, 12, -16,...  It is an alternating sequence having negative even…

Q: For Exercise, the nth term of a sequence is given. Write the first four terms of the sequence. d, =…

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Q: Consider the sequence: 9, 12. 17, 24,33 What is the explicit expression of the sequence? Find the…

A: As it is mentioned to write the quadratic equation for the explicit expression of the sequence,…

Q: Write down the first five terms of the sequence: an = (3n)! a1 = az = az = a4 = a5 =

A: We will put the values of n and evaluate to find the terms of the sequence. n! = n x (n-1) x…

Q: state the recursive formula that generates the last number in the sequence 1, 2, 3, 5, 7, 11, 15,…

A: The given sequence is 1, 2, 3, 5, 7, 11, 15, 23, 31.

Q: n-1 a, = 5()"- is the formula that represents the sequence: 5, ž, 4 8 5 5 5 %3D O True O False

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Q: 2. Which explicit formula describes the sequence (87, 83.4, 79.8, 76.2, ...}? O an = 87 + (n-…

A: NOTE: Refresh your page if you can't see any equations. . the first term is  . the common ratio is…

Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: Use inductive reasoning to predict the next three terms in the sequence :13, 31, 15, 51, 17, 71, 19,…

A: Given the sequence : 13, 31, 15, 51, 17, 71, 19, 91 Find the next three terms of the given sequence.

Q: write the first five terms of the sequence. (assume Hhat begins with 1.) an= 5(-1)***() %3D

A: The objective is to write the first 5 terms of the given sequence.

Q: Write an explicit formula for the sequence 7, 2, -3, -8, –13, ... Then find . = -5n + 12; -58 14 -5n…

A: To find the explicit formula of a sequence and a14

Q: The given pattern continues. Write down the nth term of the sequence {a,} suggested by the pattern.…

A: 3, -6, 9, -12, .... From this series we see that each term is a multiple of 3. In fact the nth term…

Q: Write the recursive formula for each sequence. 7) 3, 9, 27, 81, 243, ... 08 Find the explicit…

A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The…

Q: Write a recursive formula for the sequence: {- 3, 1, 5, 9, 13, ...} o , an 17 aj = -3

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Q: Write the first five terms of the sequence defined recursively. a₁ = 5, ak+1 = 4(a-3) ak+1 a₁ az 33…

A: We will find the required.

Q: Write an explicit formula for am, the nth term of the sequence 35, 38, 41, ...

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Q: Write an recursive formula for an, the n" term of the sequence 28, -14, 7, ... an ||

A: To find the recursive formula for the n th term of the given series, initially we have to identify…

Q: Which recursive sequence would produce the sequence 4, 15, 59, ...? a1 = 4 and a, = 5an-1 – 5 a1 = 4…

A: NOTE: Refresh your page if you can't see any equations. . the first term is  the second term is…

Q: In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the…

A: According to question given :-Series 3a, 3a2b, 3a3b2, 3a4b3...We have to find sixth term and  the…

Q: Write an explicit formula for an, the nth term of the sequence 5, 15, 25, ....

A: *to find:- nth term, a_n.

Q: Consider the sequence 1, -2, 4, -8, 16, . . . . Find a2/a1, a3/a2, a4/a3, and a5/a4. What do you…

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Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

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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: 1 Give the first five terms of the sequence: 2 4 5: a, = ,-2 · an-1 (for n 2 3) %3D 5' 42 =

A: Given sequence is: a1=25, a2=45; an=an-2.an-1       (for n≥3)

Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; the sixth term is 0. Find a…

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Q: 9. Write the explicit formula and find as for the sequence: -38,-45,-52,-59,

A: Given: sequence -38,-45,-52,-59,...... given sequence is arithmetic progression whose first…

Q: Write an expression that gives the requested sum. The sum of the first 31 terms of the geometric…

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Q: Find the firstive terms of the recursive sequence 2 a, -3 a,-2a+1

A: The terms of recursive sequence can be obtained by substituting the value of n, the the value of…

Q: Given the explicit formula for an arithmetic sequence find the first five terms and the 52nd term:…

A: Given, an = -10n - 26 for 1st term n = 1 ,  a1 = -10 *1  - 26 = -36 for 2nd term n = 2 ,  a2 = -10…

Q: Use inductive reasoning to find the next two terms of each sequence.   6. 1/2, 1/4, 1/8, 1/16…

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Q: Write a recursive formula for the sequence 8, 10, 12, 14, 16, .. Then find the next term.

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Q: 5. If {un} is a geometric sequence, U̟U6 64, uz + u7 = 34, find un %3D

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Q: In the arithmetic sequence 7,23/3,25/3,…, which term is 51?

A: The given arithmetic sequence is 7, 233,253 where  first term a = 7              common difference d…

Q: In the sequence {1,5,9,13,17,} which term is a3?

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Q: Which of the following is the explicit formula for the sequence {-2, -6, -18, -54, -162, ...}? a. =…

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Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 180, -30, 5,

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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.