Question

A. Find K given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence. 

B. Write down the next two terms of the sequence. 

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
Not helpful? See similar books
Intermediate Algebra
Intermediate Algebra
Sequences, Series And Binomial Theorem. 12.38TI
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: In an Arithmetic Sequencea1, a2,.an, the first term is 7 and the 11 term is 57, then S is

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Given that a is an arithmetic sequence, a1=6 and a10=60, what is a21?

A: Given arithmetic sequence in which we have a1=6 and a10=60. To find: a21 Solution: In arithmetic…

Q: Q1. Write out the first four terms of the sequence and determine whether the sequence is converging.

A: Click to see the answer

Q: Q1. Write out the first four terms of the sequence and determine whether the sequence is converging.

A: Click to see the answer

Q: Q1. Write out the first four terms of the sequence and determine whether the sequence is converging.

A: The sequence is defined by To evaluate : The first four terms of sequence and the convergence of…

Q: 5. The third term of an arithmetic sequence is 28, while the fourth term is 41. Write the sum of the…

A: Given:  Third term of arithmetic sequence =28                fourth term     =41  To find : Sum of…

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

A: Click to see the answer

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

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

A: Click to see the answer

Q: Find the specified term of the arithmetic sequence that has the two given terms.a12; a1 = 9.1,…

A: Click to see the answer

Q: Write out the first four terms of the sequence and determine whether the sequence is converging. 1…

A: Click to see the answer

Q: Find a and az for the geometric sequence 6, a2, аз, —162,

A: Click to see the answer

Q: Find t 10 in the arithmetic sequence 11, 7, 3, .

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

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

A: The given sequence-1,-2,-3,......

Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. a, a + 5, a + 10, ... ag = a24 = an =

A: Given arithmetic sequence is  a, a+5, a+10, ..... where  first term = acommon difference d =…

Q: Give the first five terms of the sequence: a, = n° -2n %3D

A: Given,           The sequence is an=n3-2n.

Q: How many terms are in the arithmetic sequence 7,1, –5, . , –161? .... Hint: an = a1 + d(n – 1) where…

A: The given arithmetic sequence is,7,1,-5,....,-161

Q: hat is the formula for the arithmetic sequence if the sum of the same sequence is given by Sn=2n+3n^

A: Click to see the answer

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

A: Click to see the answer

Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. 3, 1, -1, ... ag = a24 = %3D %3D

A: First find the common difference of the given arithmetic sequence than use the formula to find other…

Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

A: Click to see the answer

Q: How many terms are in the arithmetic sequence 178, 170, ..., 2

A: How many terms are in the arithmetic sequence 178, 170, ..., 2?

Q: c) find the sum of the first 201 terms of this sequence.

A: Click to see the answer

Q: Find A and B so that (a + b), (3a - 2) and (3a + 4b) are terms of arithmetic sequence.

A: Click to see the answer

Q: An arithmetic sequence with a5 = 12 and a12 = 40 can be written in the form an = dn + ao %3D where d…

A: Click to see the answer

Q: Find k so that the terms k – 3, k + 1 and 4k 2 form a geometric sequence

A: Click to see the answer

Q: Find k so that the terms k – 3, k + 1 and 4k 2 form a geometric sequence

A: If three terms are said to be in a geometric sequence then there exist a common ratio between the…

Q: Find the 12th term of the given arithmetic sequence. a1 = 95, d = –7, n = 12

A: Click to see the answer

Q: In an arithmetic sequence {a1, a2, d3, - the first term is 6 and the 11 term is 46, then S1 is 330…

A: Use the formula for the sum of  n terms of an arithmetic sequence.

Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

A: Click to see the answer

Q: Find the specified term of the arithmetic sequence that has the two given terms.a10; a2 = 1, a18 =…

A: We have to find a10 of the arithmetic sequence which has given two terms: a2=1 and a18=49. We know…

Q: Write out the sequence that can be described by the explicit definition: an n? + 2n ?

A: Click to see the answer

Q: Write out the first three terms of the sequence given by a, =n² – 4n+2. ao a1= a2

A: Click to see the answer

Q: C. Using the recursive definition =3 (a,)` - ; if a, = 2. Create a sequence for the first five…

A: a1 =2 a2=7 a3=142

Q: 39. Write out the first five terms of the sequence of an =n - 4 А) -16, -12, -8, -4, 0 В) -3, -2,…

A: Click to see the answer

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

A: Substitute n=1 in an=2n+1! and obtain the first term. a1=21+1!    =22!    =4

Q: nd Find the 72 term of the following arithmetic sequence. 13, 21, 29, 37, ...

A: Recall:  nth term of arithmetic sequence is, an=a1+(n-1)d where, a1=first term, d=common difference…

Q: In an arithmetic sequence a1, a2,, an, if the first term is 7 and the common difference is 6, then…

A: here option C is true

Q: In an arithmetic sequence a1, a2, · · · , an , if the first term is 8 and the common difference is…

A: The general form of an arithmetic sequence is a,a+d,a+2d,a+3d,... , where a is the initial term…

Q: How many terms are in the arithmetic sequence 7, 1, –5, ...,-161? Hint: An = a1 + d(n – 1) where a1…

A: Click to see the answer

Q: find a n for each geometric sequence a 12; 96,48,24,...

A: Nth term of gp is An= a×rn-1

Knowledge Booster
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Intermediate Algebra
    Algebra
    ISBN:9780998625720
    Author:Lynn Marecek
    Publisher:OpenStax College
    College Algebra (MindTap Course List)
    Algebra
    ISBN:9781305652231
    Author:R. David Gustafson, Jeff Hughes
    Publisher:Cengage Learning
    College Algebra
    Algebra
    ISBN:9781938168383
    Author:Jay Abramson
    Publisher:OpenStax
  • College Algebra
    Algebra
    ISBN:9781337282291
    Author:Ron Larson
    Publisher:Cengage Learning
    Algebra & Trigonometry with Analytic Geometry
    Algebra
    ISBN:9781133382119
    Author:Swokowski
    Publisher:Cengage
    Glencoe Algebra 1, Student Edition, 9780079039897...
    Algebra
    ISBN:9780079039897
    Author:Carter
    Publisher:McGraw Hill
  • Intermediate Algebra
    Algebra
    ISBN:9780998625720
    Author:Lynn Marecek
    Publisher:OpenStax College
    College Algebra (MindTap Course List)
    Algebra
    ISBN:9781305652231
    Author:R. David Gustafson, Jeff Hughes
    Publisher:Cengage Learning
    College Algebra
    Algebra
    ISBN:9781938168383
    Author:Jay Abramson
    Publisher:OpenStax
    College Algebra
    Algebra
    ISBN:9781337282291
    Author:Ron Larson
    Publisher:Cengage Learning
    Algebra & Trigonometry with Analytic Geometry
    Algebra
    ISBN:9781133382119
    Author:Swokowski
    Publisher:Cengage
    Glencoe Algebra 1, Student Edition, 9780079039897...
    Algebra
    ISBN:9780079039897
    Author:Carter
    Publisher:McGraw Hill