The non-recursively defined formula for writing an arithmetic sequence is given by: an = C+ (n - 1)d, n 2 1. O True O False

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

A:

Q: The recursive formula of an arithmetic sequence is described below. a1=19,an=an−1+6 Which…

A:

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: The series can be written as follows in expanded form: 31+2+32+2+33+2+......+316+2…

Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

A: We need to write a non-recursive formula.

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: The first term a1=8 and common ratio r=3.

Q: Write a recursive formula for the arithmetic sequence rn given below. 13,5,−3,−11,−19,…

A:

Q: Find the explicit formula for the arithmetic sequence Cn given below - note that c1=−4.…

A:

Q: Given the recursive rule for an arithmetic sequence, write the explicit rule. 5. f(1) = 19 and f(n)…

A: Question number 5,Given,          f1=19 and fn=fn-1-10 for n≥2

Q: Write the explicit form for the nth term of the following geometric sequence.  4,15,45,135…

A:

Q: For Exercise, write a formula for the nth term of the geometric sequence. 18 5' 5'5' 15’

A:

Q: Write a formula for the general term (the nth term) of the arithmetic sequence whose second term,…

A: The second term, a2, is 4 The sixth term, a6, is 16. Formula used: an=a1+n-1d where a1 is first term…

Q: Write the recursive and explicit rules for the geometric sequence shown in the table below. 1 3 -8…

A: Given- n 1 2 3 4 5 fn -8 -4 -2 -1 -1/2   To write the recursive and explicit rules for the…

Q: . Recursively, find the missing term of the arithmetic sequence with the following given that a₁ =…

A: We have a1=5 , a2=11 , a7=? . To find the 7th term of the given arithmetic series .

Q: Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and…

A:

Q: True or False For an arithmetic sequence {an } whose firstterm is a1 and whose common difference is…

A: Arithmetic sequence

Q: Which explicit formula describes the geometric sequence { 1 1 1 3' 9 27 ' 81 .. n-1 an=+(n- 1) ()…

A: The given sequence is: 13,19,127,181,... That is: 13,132,133,134,... So, the general form of the…

Q: For Exercise, write the first five terms of the sequence defined recursively. 1 b1 = 10; b, = ba-1

A: Given sequence defined recursively as  Substituting n=2,3,4,5, we get

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A:

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

A:

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: A geometric sequence with the first term a1 and the common ratio r , the nth (or general) term is…

Q: Use the formula for the sum of the first n terms of the arithmetic sequence to find the sum. 9. + 5…

A:

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: Obtain the value of the sum as follows.

Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a, =n+5 O 320 O…

A: The general term of an arithmetic sequence is given by formula an = n+5 To evaluate : The sum of…

Q: Write the recursive and explicit rules for the geometric sequence shown in the table below. In 1 3 4…

A:

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

A: We have to write an explicit formula that represents the sequence defined by the following recursive…

Q: Write a recursive formula for the following arithmetic sequence. 11, 6, 1, -4, ... %3D for n 2

A:

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: Write a recursive formula for the following arithmetic sequence. -7, -10, –13, -16, ... O for n 2 2…

A:

Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

A:

Q: An arithmetic sequence will always have a common ratio. O True O False

A: In an Airthmetic sequence the difference between one term and the next is a constant.We just add the…

Q: Find the indicated term of the geometric sequence. an= (n-1) 6, where a1 = -2. Find a4. %3D a4=

A: We will solve the given question using two different methods. In the first method we will solve step…

Q: a = 5, a,+1=-3a,

A:

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

A: The given recursive formula is                a1=6 and an=-4an-1 The given sequence is a geometric…

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: Given: a=4, r=-2 we know that nth termTn of a geometric progression is given by Tn=a.rn-1…

Q: find the sum, if it exists, of the infinite geometric sequence described by an =64(1/4)n-1

A: Sum = a/(1-r) ; where 'a' is first term and 'r' is the common ratio.

Q: Write a recursive formula for the geometric sequence an given below. 10,10/3,10/9,10/27,10/81,…

A:

Q: find a formula for a, for the arithmetic sequence.

A:

Q: find a formula for a, for the arithmetic sequence.

A: First term, a1 = a= 1 common difference, d= 3

Q: Let the arithmetic sequence be defined by the formula a = 5 + (n-1) * 7 Apply the concepts of adding…

A:

Q: Find the explicit formula for the general nth term of the arithmetic sequence described below.…

A:

Q: An arithmetic sequence is given below. 20, 15, 10, 5, ... Write an explicit formula for the n th…

A:

Q: Write a recursive formula for the following arithmetic sequence. 10, 4, -2, -8, ... |for n z 2 a

A:

Q: Write the explicit formula for the arithmetic sequence. 3, -3, -9, -15, -21, .. es -) A) an = 7 - 4n…

A:

Q: Find a formula for a, for the arithmetic sequence. a = 102, d= - 6

A: the  formula for an is given by an=a1+n-1d where a1 is the first term and d is the common…

Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6

Q: For Exercise, find the number of terms of the finite arithmetic sequence  11, 10.7, 10.4, 10.1, … ,…

A: Given, terms of the finite arithmetic sequence11, 10.7, 10.4, 10.1, …  −3.4