recursively defined sequence

Q: If third and seven terms of geometric sequence is 45 and 100 respectively.then find its nineteenth…

A: Given data: The third term is a3=45. The seventh term is a7=100.

Q: Find the recursive and explicit formula for each arithmetic sequence. Explicit formulas need to be…

A:

Q: Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first five…

A: We have to provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the…

Q: The nth term in a sequence is an. How can you represent the next three terms in the sequence?

A: Given, A sequence with, n th term= an

Q: The second and fifth terms in an arithmetic sequence are 12 and 18 respectively. What is the 100th…

A: Use  an=a1+n-1d  to solve the problem.

Q: Ag = 31 %3D %3D

A: Nth term of an AP is  an=a + (n-1)d Where a is first term , n is the term and d is common difference…

Q: Explain why 12,6,4,3 is a harmonic sequence. Find its nth term.

A: the given sequence is 12,6,4,3. write the reciprocals of the terms, 112,16,14,13 now note that:…

Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = 6, a, : = 19…

A: Given that first term a1 = 6 and second term a2 = 19 We have to find fifth term a5 = ?

Q: sequence

A:

Q: What is the sum of the first 10 terms of the sequence {300, 150, 75, ...}?

A: Given: 300,150,75,...... Formula Used: Sn=a1-rn1-r

Q: What are the initial term and a recursive formula for this sequence: 4, 7, 10, 13, ......

A: The given sequence is 4,7,10,13,... the common difference is 7-4=3,10-7=3,... therefore, the common…

Q: Find the sum of the first 27 terms of the arithmetic sequence. 19, 28, 37, 46, .. What is the sum of…

A: Topic = Sequence

Q: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 28 and…

A: To find: The first term and common difference of the arithmetic sequence. Given: The 9th term of the…

Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…

A:

Q: If 77, 49 , 36 are my first three terms of the sequence what are my next two and what is the rule

A: The first three terms of the sequence are 77, 49, 36. Find the next two terms as follows.

Q: Find the first term and the common difference of the arithmetic sequence whose 6th term is – 9 and…

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

Q: me sequence whose nth term is

A:

Q: Find the 5th term of the arithmetic sequence whose 3rd term is 35 and whose 10th term is 77.

A: Let the first term is = a and common difference = d So, n th term of arithmetic sequence is given by…

Q: What is the 9th term of this sequence ?

A:

Q: Write the arithmetic sequence – 10, – 7, – 4, – 1, ... in - - - the standard form: An

A:

Q: Write the general term(rule) of the arithmetic sequence whose third term is 32 and whose eleventh…

A: We can find the required answer as below.

Q: Write out the first 5 terms for an algebraic sequence starting with 8 with a rate of change of 4.…

A: The first term  of the sequence is 8 i.e a=8 ,and the rate of change is 4. So, let ratio between the…

Q: Find the first four terms of the arithmetic sequence whose first term is 9 and whose common…

A:

Q: Find the nth term of a sequence whose first several terms are give 3, 9, 27, 81, ... an

A:

Q: The 4th term and 15th term of an arithmetic sequence are 24 and 123 respectively. Find the 72nd…

A: Given problem Given that   The 4th term and 15th term of an arithmetic sequence are 24 and 123…

Q: What are the next three terms of the arithmetic sequence −14,−9,−4,1,...?

A:

Q: What is a recursively defined sequence?

A:

Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is −5 and…

A: In airthmetic sequenceuse formula nth term tn=a+n-1d7th term t7=a+7-1d=-5a+6d=-5--116th term…

Q: The 5th term of an arithmetic sequence is 47 and the 17th term is 152. Find the first term and…

A: general term of arithmetic sequence  an=a+(n-1)d .........(1)where a=first term and     d=common…

Q: what is the 10th term in an arithmetic sequence whose 3rd term is 17 and whose common difference is…

A:

Q: Create your own sequence with recursive formula.

A:

Q: If the 6th term of an arithmetic sequence is 63 and the 14th term is 135, write the formula for the…

A:

Q: Write the first four terms of the sequence whose general term is given. Separate the terms with a…

A:

Q: Explain why 12,6,4,3,.... is a harmonic sequence

A:

Q: { Explain why you think the sequence converges to a finite number or diverges. If the (-8)"- ル-1…

A:

Q: The first three terms of a geometric sequence are as 64, 32, 16 Find the next two terms of this…

A: Geometric Series: The general geometric series is in the form of a,ar,ar2,ar3,… where a is the first…

Q: Calculate the sum of the first 38 terms in the sequence. 7, 3, - 1, – 5, ... | The sum is

A:

Q: What is the fifteenth term of the sequence 5,-10,20,–40,80,...?

A:

Q: Write the first four terms of sequence whose general term is given an = 3n + 2.

A: Given: an=3n+2 To Find: First four term of the sequence whose general term is given.

Q: Determine which sequence is not an arithmetic sequence. 10, 6, 2, -2, ... 0, 0.5, 1, 1.5, ... о-7,…

A: topic - arithmetic sequence

Q: Find the 10th term of a geometric sequence whose 2nd term is 7 and whose 5th term is 35. Report it…

A:

Q: An arithmetic sequence has a first term of 0 and a 9th term of 12. Which term number corresponds to…

A:

Q: Find the 10" term of the arithmetic sequence 1, 2-, 3- ...

A:

Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is 9 and…

A:

Q: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 17 and…

A: The general form of arithmetic sequence is a,a+d,a+2d,......,Where a  is the first term of the…

Q: Find the first four terms of the arithmetic sequence whose first term is -6 and whose common…

A: We have to find first four terms of the arithmetic sequence whose first term is -6 and common…

Q: Find the first four terms of the arithmetic sequence whose first term is −1 and whose common…

A: Given that first term of arithmetic sequence is -1 and common difference is 9.

Q: Find the first term and the common difference of the arithmetic sequence whose 11th term is – 15 and…

A:

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.