You are asked find 6th ,and 7th  term in the sequence 1,3,6,10,15 ______________ What would it be? How did you come up with your answer?explain.

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: In a sequence of numbers, a, = 0, a,= 6, a̟ = 12, a, = 18, and a, = 24. Based on this information,…

A: Given: a3=0,  a4=6,  a5=12,  a6=18  and  a7=24

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

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Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 4. 4. 4…

A: Sum of nth   term of G.P. is given below

Q: 69 Find the formula for the nth term of the arithmetic sequence. 15 EGO 4, 11,.. 2

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Q: Find a formula for the terms an of the sequence {2,−1, 1/2, -1/4, 1/8, -1/16....}

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Q: Find the 9th and 10th terms of the sequence a, = 5n + 3. The 9th term is The 10th term is

A: Given : an = 5n+3

Q: a) Find a formula for the nth term of the sequence. 1, 1/8, 1/27, 1/64, . . .   b) Write the first…

A: Explanation of the solution is given below....

Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 2 2 6, -…

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Q: 7) Given the sequence 1, 2, 4, 8, 16, 32..., find the 10 term and the sum of the first terms.

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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: (a) Plot the first four terms of the sequence 3n? – 3n + 2 n=1

A: We have to plot the first four terms of the given sequence.   According to our guidelines we can…

Q: Which of these is a formula that can be used to determine the nth term of the arithmetic sequence…

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Q: C. Find the specified term of the given arithmetic sequence. Write the answer in the blank. 1. 2, 8,…

A: Please refer to the image below

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

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Q: th 6) Given the sequence 1, 4, 7, 10, 13 ..., find the 10" term and the sum of the first 10 terms.

A: We have to find 10th term and sum of first 10 terms of the given sequence: 1, 4, 7, 10, 13, .....,…

Q: Identify the sequence as either arithmetic or geometric. List the next two terms of the sequence.…

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Q: The given pattern continues. Write down the nth term of the sequence suggested by the pattern. 7,…

A: Given the pattern of terms  7, -7, 7, -7, 7, -7, 7, -7,..... Since here only sign changing as we…

Q: 3. Find the sum of the first 42 terms in this sequence: 6, –1, –8, –15, –22.... a. What is the first…

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Q: Given the following arithmetic sequence 3, 9, 15,... , find the value of the 16th term and the sum…

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Q: A. Write the missing term/s in the given series of numbers. 1. Find the next three terms in: -14,…

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Q: A 3. Consider the arithmetic sequence (33, 44, 55, 66, ...}. What is the 15th term in this sequence?…

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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: Write a formula for the general term (the nth term) of the sequence 3, 6, 12, 24, . . . ; a10. Then…

A: we have to write a formula for the general term (the nth term) of the sequence 3,6,12,24,... we have…

Q: Must the fifth term of the sequence 2 , 4 , 6 , . . . be 10 ? Explain thoroughly.

A: The nth term of a sequence with 1st term a1 and common difference d is given by,

Q: Find the first four terms and the 100th term of the sequence: a, = 3n – 2 aj= a2= az= a4= aj00 =

A: Use the nth term formula to evaluate the required terms.

Q: f the second and third terms of a geometric sequence are 108 and 36, what is the first term? Express…

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Q: . Consider the sequence b = 9 {9, ž, †»§ 16 » * * * i} a. What is the common ratio? b. What are the…

A: 9, 9/2, 9/4, 9/8, 9/16, . . . . . . = {an}n>=0 = 9, 9/2, 9/22, 9/23, 9/24, . . . . . .  (a)…

Q: Does the sequences increasing or decreasing ? 10n (2n)! n!

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Q: 2. In an arithmetic sequence, if a4 = 18 and a10 = 30, determine a1, d, and an: Then write the first…

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Q: a) Consider the sequence: 6, 17, 28, 39 Find the missing term above. Is this sequence arithmetic,…

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Q: A. Determine 1. 2. 3. the next three terms for each sequence. 9, 16, 23, 30, ... 4, 10, 16, 22, ...…

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Q: 2. In the sequence: 4, 16, 64, 256,.., find the following: a. 6th term b. 12th term c. 16th term ? ?

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Q: Write the explicit formula for the sequence, Then find the fifth term in the sequence. O an =…

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Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: The given sequence is a, a+4, a+8

Q: 1 na sequence, the first term is 4 and the common difference is 3. What is the fifth term of this…

A: Given first term of the sequence a = 4 common difference d = 3 the general expression for nth term…

Q: 1. Choose the correct answer. What is the equation for the 9th term of the sequence given? -2.5,…

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Q: 12. Given the sequence {7, 11, 15, 19, .... } Is 131 a term of the sequence? If so, which term is…

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Q: Given the start of a sequence (a0, al , a2, a3,a4, a5...) which is (-8, -3, -2, 1, 12, 37 (a)…

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Q: a) Consider the sequence: 4, 14, 24, 34 Find the missing term above. Is this sequence arithmetic,…

A: Since you have asked multiple subpart,as per our guidelines we are supposed to answer only first 3…

Q: 1. In the sequence: 12,14,16,18,...., find the following: a. 7th term b. 13th term c. 26th term

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Q: An arithmetic sequence includes the values 5, 27, and 71. By which of the following equations could…

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Q: A. Write the missing term/s in the given series of numbers. 1. Find the next three terms in: -14 -10…

A: As per the company's guidelines, we are supposed to solve first three subparts for you, kindly…

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

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Q: Given the following arithmetic sequence 3, 7, 11,. , find the value of the 17th term and the sum of…

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

A: We know that, For arithmetic series, d=a2-a1=a3-a2  For geometric series, r=a2/a1 = a3/a2  So from…

Q: 2. In the sequence: 4, 16, 64, 256,..., find the following: a. 6th term b. 12th term 16th term ? ?…

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Q: Write a formula for the general term the nth term of the geometric sequence 3, 12, 48, 192,.... Then…

A: Given: Sn= 3, 12, 48, 192,....  Formula used: For geometric series, Sn= a, ar, ar2, ar3,.....…

Q: 2. Given the sequence: 1, 4, 9, 16, 25, .. what could be the 10th term?* c. 10000 d. 100000 a. 100…

A: This is a sequence problem so I used simple calculation to determine the 10th term of the given…