Consider the sequence 41,52,63,74,…,11n-3. How many terms are there in the sequence? Your answer will be in terms of n. What is the second-to-last term? Find the sum of all the terms in the sequence, in terms of n.

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: Consider the sequence 5, 10, 15, 20, ..., 5n + 5. a. How many terms are there in the sequence? Your…

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Q: Given Arithmetic Sequence a1, a2,·*, ɑn the first term is 25 and the common difference is 3, find…

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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: Suppose that a sequence is defined as follows a1 = -2,   an = -3an-1 +7 for n> 2 list the first 4…

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Q: Find the missing term or terms in each arithmetic sequence. 31, -169, ... Blank 1 Missing term is…

A: If the difference between two consecutive terms is constant then this progression is called as…

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: 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: Consider the sequence 9, 12, 15, 18, ..., 3n + 0. a. How many terms are there in the sequence? Your…

A: Given sequence is: 9, 12, 15, 18, 3n To find the number of terms in the sequence. To find the…

Q: The first three terms of an arithmetic sequence are given. Find an expression for t in n terms of n,…

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Q: Suppose that a sequence is defined as follows. a1=-4,   an=3an-1+7 for n>2 List the first four…

A: Given: The given sequence is defined as, To determine: The first four terms of the sequence where

Q: The formula for a sequence is 2n+3 where n=1,2,3... Show the first four terms of the sequence

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Q: Consider the sequence whose nth term is an = 4n - 3. Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the first five terms of the sequence 2" -1 n 1, 2, 3, .. аn n2 1

A: Given: -

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: Consider the sequence whose nth term is an = 3 . 5n.Find a2/a1, a3/a2, a4/a3, and a5/a4. What do you…

A: Given: The sequence whose nth term is an=3×5n. To find: a2a1, a3a2,a4a3,a5a4.

Q: 52. Find the sum of the first 60 terms of the sequence. {2, 10, 18, 26,...}

A: Solution:Given      the sum of the first 60 terms of the sequence{2,10, 18, 26,...}FormulaSn=n2…

Q: Find the erplicit formula for the sequence 25, 5, 1, ,.

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Q: the sequence {12, 4, −4, −12, −20, } assuming that the pattern

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Q: Find a formula for the general term, an, of the sequence 8 4, 3 12 16 20 - - 9'27' 81

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Q: consider the sequence 20,26,32,38,...,6n+8 a. how many terms are there in the sequence? your answer…

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Q: Find a formula for the nth term in the sequence: 4 10 16 22 28 2 6 12' 20' 30 >... nth term is

A: The given sequence is  4/2, 10/6, 16/12, 22/20, 28/30,................. To find nth term

Q: Consider the sequence: 1536, 768, 384, 192, 96, ... Determine the 11th term of the sequence. O A. 3…

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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: Consider the sequence: 17, 14, 11, 8, ..., find the 26th term of the sequence.

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Q: Consider the sequence b, below. 27 bn: 32,24,18, 2 Write a formula for the nth term of the sequence.…

A: Given :-  Consider a sequence bn below : bn : 32, 24 , 18 , 272 , ...... To Determine :- (a) A…

Q: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

Q: Find the first four terms and the eighth term of the sequence.

A: Our Aim is to find four terms and the eighth term of the sequence given below:-3n-2n2+1-(i)

Q: Find the 8th term in the sequence 18n-36.

A: Put n= 8

Q: Find the formula of the nth term of the sequence {1,2,4,8,16,..}

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Q: Find the sum of the first five terms of the sequence with the given general term. an = 4n

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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 the first four terms and the 100th term of the sequence whose nth term is given. an = n − 3 a1…

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Q: What is the recursive formula for the sequence? 4, 24, 216, 2592, 38880, .. a1 = 4, an = 3na,-1 ај 3…

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Q: Find a formula for the general term an of the sequence {2, 20, 2, 20, 2, · · · } assuming that the…

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

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Q: 4. Find the first five terms of the sequence in which the sixth term is 47 and twelfth term is 77.…

A: Given:Arithmetic progression  T6=a+5d=47  T12=a+11d=77   We have to find T5 = ?

Q: Find the first ten terms of the sequence in the formula an = 4n -n - 2. %3D

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 terms an of the sequence {2, 4/3, 8/9, 16/27, 32/81,...}

A: Explanation and solutions is given below....

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

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Q: 11. Write the formula for the nth term of the following sequence: 3,-9, 27,-81, 243, -..

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Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, -25, .. Determine the sequence's…

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Q: Find the formula (nth term) of the sequence 4, 10, 28, 82, 244, .... O an = 3n + 1 an = 6n + 1 O an…

A: Given, The sequence  4, 10, 28, 82, 244, .... We have to find the nth term of the sequence

Q: Determine if the sequence is arithmetic. If it is, find the common difference, the explicit formula,…

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Q: Consider the sequence whose nth term is an = 4n - 3.Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: an=4n-3. Put n=1, 2, 3, 4, 5 in an=4n-3, we get a1=41-3=1a2=42-3=5a3=43-3=9a4=44-3=13a5=45-3=17

Q: Consider the sequence: 23, 21, 19, 17, 15, .. Determine the 37th term of the sequence. O -55 O -49 O…

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Q: 2.) Write an expression for the nth term of the sequence 1, 6, 120, 5040, 362,880, . . .

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Q: 12) Find the n-th term of the Sequence 12,8,4,0,-4,-8,..

A: nth term of the arithmetic sequence :  an =a+(n-1)d , where , a-first term and 'd' is common…

Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, - 25, ... Determine the sequence's…

A: Given sequence is -1             4                 -9                16              -25 By…

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.