b) (x-y),X, (x+y)

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: ind the sum of the first eight terms of the sequence 1/8,−1/4,1/2, . . ..

A:

Q: Find the nth term of a sequence whose first several terms are given. 6, 12, 18, 24, . .

A: Given Seies, 6,12,18,24.........

Q: How many terms of the arithmetic sequence {1,3,5,7,...} will give a sum of 961?

A:

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: 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: . Use difference table to determine the next three terms of the sequence 3, 1, 0, 2, 13, 46, ..

A: Make a table as follows  original terms  First difference Second difference Third difference…

Q: What is the formula for the nth term of the sequence 5, 8, 11, 14, ...?

A: The given sequence 5, 8, 11, 14,........

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: Determine the sum of first 20 terms of the arithemetic sequence if the first term is 2 and second…

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: Calculate the first 5 terms of the sequence an = Factions and as decimals to 3dp. (1+)", expressing…

A:

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: What will be the sequence generated by the generating function 3x/(1-x)2?     a) 9, 12, 15, 18,……

A:

Q: How many terms of the arithmetic sequence {2,4,6,8,...}will give a sum of 600?

A: The given arithmetic sequence is {2,4,6,8,.....} an the sum is 600 We know,

Q: Suppose that the sequence {ax}1 is 2, 4, 6, 8, 10, 12, 14, 16, ... What is a4?

A: Answer

Q: What are the first 5 terms of the sequence a_ =2n – a 'n - 1, where “, =5,

A:

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

A:

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: Identify the 7th term of the sequence: 4, 20, 100, .... * O 65,200 315,200 O 62,500 O 312,500

A:

Q: Find the next two terms in th. sequence. 8, 5, 2, -1, -4, [ ? ].[ ]

A: Given sequence is : 8, 5, 2, -1, -4 To find the next two terms in this sequence.

Q: What is the 9th term of 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: The third term of a sequence is 64 while the seventh term is 4. Determine the sum of the first ten…

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: What is the next term for the sequence 1, 5, 11, 17, 33, 61, ...

A: The pattern in a sequence of numbers determines the next number in the pattern. The pattern is…

Q: Find the sum of the first 13 terms of the arithmetic sequence. 5,9, 13, 17. . What is the sum of the…

A:

Q: Find the sum of the 3rd and the 7th term of the sequence: 1, 4, 13, 40, 121, ...

A: We have to find the sum of 3rd term and 7th term of the given sequence.

Q: What is the 10th term of the sequence 3, 9, 27, 81, ...?

A: Here the terms are with common ratio r =3 and they are in geometric progression. You can observe by…

Q: What is the 6th term of the sequence 8, 32, 128, 512, ...?

A: what is the sixth term of the sequence , 8, 32 ,128 512, ....?

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: What is the sum of the first 47 terms of the sequence? −215,−201,−187,−173,

A: We have given a sequence  -215 , -201, -187, -173 So first term,a = -215 Common difference = Second…

Q: recursively defined sequence

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

A:

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

A:

Q: Find the first 4 terms of the sequence with first term2 and nth term an = 2an-1 + 3.

A: Our Aim is to find the first 4 terms of the sequence with first term and nth term an=2an-1+3

Q: Find the sum of the first 20 terms of the sequence 5, 10, 15, 20, ...

A:

Q: what notation is use to distinguish the sequence?

A: Notation of sequence is as follows:

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

A:

Q: What is the 11th term of the geometric sequence −1.5,−3,−6,−12,…?

A: Given series ,-1.5 , -3 , -6 , -12 ,---first term , a1=-1.5Common ratio , r=-3-1.5=2

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: 4. What are the first five terms of the sequence for a1--2 and an-2an-1+5?

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: term in a geometric sequence whose 3rd term is 5/4 and 6th term is 10?

A:

Q: - Describe four different rules for determining the next entries in the sequence that follows. Give…

A: Given, 5, 7, 11, . . .

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.