The simple formula for a, if the first 5 terms of the sequence {an} are 1, 21, 121, 621, 3121 is: (5^n)-4 for 1 sns 5 (n^5)-1 for 1 sns 5 (4x2^n)+1 for 1sns 5

Q: The sum of the first 10 terms is 2557.5. Find the 10th term of this sequence.

A:

Q: What is the generating function for the sequence {ck},where ck represents the number of ways to make…

A:

Q: Suppose that n > 5 and that the numbers t1, t2, t3, . . . , tn−2, tn−1, tn form an arithmetic…

A: We need to determine the value of n in the given arithmetic sequence.

Q: Find the first 4 terms of the sequence with first term5 and nth term an = an-1 - 2.

A: Given: The first term of the sequence, a1 =5 And the nth term,…

Q: Write the first four elements of the sequence. n+1 3n- -1, 1, 콩, 글 1, 금, 글, 유 5. 2 0, 글, 글, 콩

A:

Q: A sequence is defined by tn = tn-1 +2", and t1 = 1. Determine the fourth term in this sequence.

A:

Q: Show that the sequence 9,12,15,18, ... is an AP. Find its 16th term and the general term.

A: We need to show that the sequence 9, 12, 15, 18, ... is an AP. Here, 12 - 9 = 15 - 12 = 3. And the…

Q: The greatest lower bound for the sequence {2, 4, 8, 16, 32, 64, . } is

A:

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 greatest lower bound for the sequence {0.1,0.01,0.001, 0.0001, ...} is

A:

Q: Which sequence could be described by the recursive definition: tn+1 = -1(tn) + 3 O A. (-9, 6, -3, 0,…

A: Given recursive formula is tn+1=-1tn+3.

Q: Suppose that the sequence {ak}1 is 2, 4, 6, 8, 10, 12, 14, 16, . What is a,?

A: we have the given sequence 2,4,6,8,10,12,14,16,...

Q: List the first five terms of the sequence whose 2.. nth term is 3" – 2". Let n = 0, 1, - Saved

A:

Q: Find the sum of the first eight terms of the sequence 1/8,−1/4 ,1/2 ,.... please show working

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 nth partial sum of Sequence for the given vale of n. -6,-1,4,9,-., nニ 100

A: Given : Arithmetic sequence -6, -1, 4, 9, ...................   To find : Partial sum of the…

Q: The first five terms of the sequence tn = 1(1/3)n-1 are: If necessary, express terms as improper…

A: We can find the required terms as below.

Q: me sequence whose nth term is

A:

Q: Determine the sum of the first 10 terms of the sequence whose general term is given by ((3^n) – 2).

A:

Q: Find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5.

A: We have to find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5…

Q: A sequence is defined by tn = tn-1+2", and t1 = 1. Determine the fourth term in this sequence.

A:

Q: What is the 9th term of the sequence 6, 42, 294, 2058, ..?

A: First Term = 6 Second Term = 42 Third Term = 294 Fourth Term = 2058   Common Ratio = 42/6 = 7 The…

Q: 17th term of the sequence 7,4, 1,......

A: For part (1) We have to find out the 17th term of the given sequence.

Q: Find the sum of the first 15 terms for the sequence: 7,10, 13, 16, 19,

A: We have 7,10,13,16,19,.........15th termFirst term a=7common Difference d=10-7=3

Q: What are the first five terms of the sequence defined over the natural numbers with the explicit…

A:

Q: Find the 10th term of the geometric sequence. aj1 = -5, r = - %3D %3D 10th term:

A: →nth term any geometric sequence is given by,                            an = a1 rn-1 , Where a1  is…

Q: It is a sequence where every term after the first is obtained by multiplying a non-zero constant. O…

A: To tell which is the sequence where every term after the first is obtained by multiplying a non-zero…

Q: Find the nth term of a sequence whose first several terms are given. 3, 5, 3, 5, 3, 5, . . . an

A: We have to find nth term

Q: 10. a, = 6, ant1 an

A:

Q: ,(n+), Does the sequences eventually increasing or decreasing ? (2n² – 7n) , (n³ – 4n²), (- , (n +…

A:

Q: Find the nth term of a sequence whose first several terms are given. 3, 5, 3, 5, 3, 5, ... an =

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: recursively defined sequence

A:

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

A:

Q: The first four terms of the sequence defined by an пап 1+ п'а, 2, @о — 3, а, — 4 are %3D aо — 3, ај…

A:

Q: Find the sum of the finite geometric sequence whose first term is 1.6, whose ratio is 0.5, and which…

A: Gp

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

A:

Q: Show that the sequence {1, -1, 1, -1, 1, -1, ..., (-1)n+1, ...} diverges.

A:

Q: Discuss the non decreasing and Bounded of the sequence 5,5,5,5,5

A:

Q: the sum of the first 40 terms of the arithmetic sequence.   −16​,−25​,−34​,−43​,...

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: Find the sum of the first 12 terms of the geometric sequence whose first term is 11 and whose common…

A: Given a geometric series with first term 11 and common ratio 5.

Q: Find the first 5 terms in the sequence. 3.) x + 9 -8,-7,-6,-5,0 A.) י5n1 -7,-2,3,

A: First five terms of sequence

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

A:

Q: Find the infinite sum of the geometric sequence with a = 6, r = if it exists. %3D %3D

A:

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

A:

Q: Find the sum of the first 100 terms of an arithmetic sequence with 15th term of 90 and first term of…

A: 15th term is 90 and the first term is 6 of an arithmetic sequence. To find the sum of its first 100…

Q: Find the nth term of a sequence whose first several terms are given. 2/3, 3/4 , 4/5, 5/6

A: