Solve all the problems with solution. 6. If the 4th term of an Arithmetic sequence is 13 and the ninth term is 37, what is the common difference? 7. How many terms are there in the sequence 1,4,7,10,...,682? 8. Find all the unknown terms in the arithmetic sequence: al, a2, a3, a4, 28, a6, a7, a8, 48

Q: 2. Find the first 4 terms and the 40th term of the arithmetic sequence: = 67.3 – 4.7n - a1 = a2 = az…

A: To find the terms of the given arithmetic sequence, substitute n=1,2,3,....  in the given nth term…

Q: The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find…

A: The first term of the arithmetic sequence, a1 =6 he common difference,d= 3

Q: How many terms of the geometric sequence 1÷27 ; 1÷9 ; 1÷3 ;....yield a sum of 364÷27?

A: The solution for the above question is as shown below.

Q: 6) Match the sequence given to the correct formula. 2, -4, -10, -16 *

A:

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

A:

Q: 6. If the 4th term of an Arithmetic sequence is 13 and the ninth term is 37, what is the common…

A: Given that,  the 4th term of an Arithmetic sequence is 13 and the ninth term is 37. Let a be the…

Q: 3.2. You have two parents, four grandparents, eight great-grandparents, and so forth. 3.2.1. If all…

A: 3.2 Given that you have 2 parents, 4 grandparent, 8 great-grand parent and so forth.

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

A:

Q: What is the equation for the nth term of the arithmetic sequence where a₁ = 28 and d = -6? an=28-6n…

A: Solution of given question is written in below steps.

Q: How many terms of the geometric sequence 64;32;16;...will add up to 127 1÷2?A mixed fraction.

A: How many terms of the geometric sequence 64;32;16;...will add up to 127 1÷2?A mixed fraction

Q: What is the sum of the 8 terms in a geometric sequence if the first term is 4 and the common ratio…

A:

Q: 4. Find the sum of the arithmetic sequence: 14, 10, 6, 2, -2, ..., -62 5. On Gabriela's first…

A: Arithmetic Sequence formula --- Nth term formula -- a(n)  = a1 + (n-1)d Sum of Arithmetic sequence…

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by s, = 2n…

A: Given that, Sn=2n+3n2 Formula for the sum of the arithmetic progression is Sn=n2{2a+(n-1)d} --- (1)…

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve:A pendulum swings…

A: As per the question,                    We are given the geometric sequence which the pendulum…

Q: Which explicit formula describes the sequence {1,2/7,4/29,8/343,...}?

A: gdfge

Q: 2. Which of the following is a finite sequence? A. 3,6, 9, 12, 15,.. B. 6,5, 4, 3, 2,1 C. 20, 22,…

A:

Q: 27 3. What is the formula for the nth term of the sequence: 8,-6, , 8. ...

A: The given sequence is 8, -6, 92, -278

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

A:

Q: 6. Which of the given formulas for the general term of the sequence -12,-16, –20, –24, ... is…

A:

Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: What is the common difference, the general term equation, and the 12th term of the arithmetic…

A:

Q: 1. Suppose that the fourth term of a geometric sequence is 2/9 and the sixth term is 8/81. Find the…

A: The given problem is to solve the given geometric sequences problem, we have to general identities…

Q: C. Solve as indicated. 1. How many terms are there in an arithmetic sequence where a, = 12, a, = 60…

A: We have to find the number of terms in the arithmetic sequence where a1=12, an=60 and d=8

Q: 6. Which of the given formulas for the general term of the sequence -12, -16,-20, -24, ... is…

A: Find the nth term of given AP. -12,-16,-20,-24,......

Q: Q1/ A geometric sequence whose terms are positive and the sum of the first and second terms is 36,…

A:

Q: uppose that the fourth term of a geometric sequence is 2/9 and the sixth term is 8/81. Find the…

A: Given 4th term of geometric sequence=298th term of geometric sequence=881

Q: Here are the first four terms of an arithmetic sequence 6 10 14 18.An expression for the nth term of…

A: Given : 6 10 14 18

Q: The 7th term of an arithmetic sequence is −44, and the common difference is −2. Find the first term.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 27 3. Explain how you would find the general term of the sequence: 4, -6, 9, - ".

A:

Q: 3a. The first term of a geometric sequence is 36 and the fourth term is 1/6. What is the value of r?…

A: We have to find r

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. a. What is the 31st term of the…

A: We have to find: a 31st term of the sequence b sum of first 31 terms of the sequence Where three…

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. A) What is the 31st term of the…

A: The terms of the AP are, a1=7a2=10.5a3=14   The common difference is, d=a2-a1=10.5-7=3.5   Thus, the…

Q: When finding the nth term in an arithmetic sequence, how do I solve a sequence with fractions? For…

A: To justify that the seventh term of the given arithmetic sequence is 72/5 (given)

Q: 1. S: (0, 6, 12, ...} S: (2, 4, 6, ..) S (1.5, 1.75, 2, ...} 15

A: We’ll answer the first 3 question since the exact one wasn’t specified. Please submit a new question…

Q: Find the common difference and the sum of the first 8 terms of the arithmetic sequence. an = 4(n-1)…

A:

Q: a) Write down the missing terms in the following sequence: 13, 17, 21, 29, 37, - b) She continues…

A: The general form of an Arithmetic Progression(AP) is a, a + d, a + 2d, a + 3d where 'a' is the first…

Q: 4 Find the sum of the first 3 terms of a geometric sequence with a = 18 and r= 3 The sum is

A:

Q: 1. The first term of an arithmetic sequence is 3 and the 20th term is -54. What is the common…

A: A detailed solution is given below.   (As per our guidelines we are supposed to answer only one…

Q: Find the expression of the general term of the sequence given by: 32 2 4 8 16 1, 2'6' 24' 120’ 720

A:

Q: The sum of the first n terms of an arithmetic sequence is Sn = bn - 2n2. Find b if the tenth term is…

A: A sequence is a function from set of natural numbers to the set of real numbers. An arithmetic…

Q: How would you determine whether a sequence is Arithmetic? How would you determine whether a…

A:

Q: The 9th term of an arithmetic sequence is 19 and the 20th term is 20.3 What are the first three…

A:

Q: Find the sum of the first 8 terms of the geometric sequence. 139 9 27 27 81 - - - + 2 2 2 O A. 2…

A:

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

A:

Q: The first term of an arithmetic sequence is -12. The common difference of the sequence is 7. What is…

A: We have to find the sum of  first 30 terms of the sequence

Q: find the sum of the first 60 terms of the arithmetic sequence given by: -5,-2,1,4,7   Formulas:…

A:

Q: How many terms are in the arithmetic sequence 5,1,-3,...,-99? Hint: a, =a1 +d(n-1) is the first term…

A:

Q: (a) What are the 5th terms for each sequence? That is, what are the values of a, and b5? (b) For…

A:

Q: the following sequence arithmetic? 4, - 10, - 24, - 38, - 52, .... Select one: a. Yes b. No c.…

A:

Q: Using your own words explain the solution in finding the 18th term of an arithmetic sequence with…

A: