A geometric sequence is a sequence in which theof successive terms is constant.

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 65th term of the arithmetic sequence with first term 5 and common difference -1/2

A:

Q: 1. The third and eighth term of a geometric sequence are 8 and – respectively. What is 1 4 the first…

A: 1.The nth term of geometric sequence;an = a rn-1a3 =a r28=a r2 ...(1)a8 =a r714=a r7…

Q: A sequence is described. First term=7 Common ratio=2   which  is an equivalent for this sequence…

A: Given that A sequence is described. First term=7 Common ratio=2 To find The nth term of the sequence…

Q: The eight term in a geometric sequence with a second term 3 and fifth term 81/8, multiply with the…

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Q: Which term of the arithmetic sequence 1, 6, 11, 16, . .is 241? It is the th term.

A:

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

A:

Q: A geometric sequence whose first term = 2 and whose sixth term = 64, i) find the first six terms ii)…

A: The nth term of a geometric progression or a geometric sequence with first term and common ratio r…

Q: sequer with first term 6 and 56th term 226. 41. Find the sum of the first 70 terms of the arithmetic…

A: 41.In an arithmetic sequence, first term=10 and common difference=12

Q: Which term of the arithmetic sequence 1, 9, 17, 25, ... is 345? It is the th term.

A:

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: Find the sum of the first 12 terms of the geometric sequence 3, -9, 27, -81, 243, ..

A: Geometric sequence 3,-9, 27,-81, 243.... To find :- Sum of first 12 terms of given sequence

Q: What is the eighth term of the arithmetic sequence? 8 -7 -6 -5 tn +4 -3 -2 -2 -3 4 -6 -7 -8

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Q: Find the sum of the first 94 terms of the arithmetic sequence   11,15,19,23,27, . . . .

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Q: 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term. 3. Php…

A: given

Q: The eight term of an arithmetic sequence is 216 and the seventeenth term is 369. Find the following…

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Q: 3. In an arithmetic sequence if 5th term value is 26 and 10th term value is 51. Find 15th term…

A:

Q: What are the first 5 terms in the sequence aj = 5 An = an-1 +4

A: Given sequence is  a1=5an=an-1+4

Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, ...?

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: Find the 37th term of an arithmetic sequence whose second and third terms are −4 and 12.

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

Q: Find the seventh term and the sum of the first seven terms of the geometric sequence 6, −3,32, −34,…

A: Given: A geometric sequence is given.6, -3, 32, -34, ... To Find: The seventh term and the sum of…

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

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Q: Find the 13th term of the geometric sequence 7, -35, 175,

A:

Q: Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?

A: First-term, a=2 Common ratio, r = 4/2 = 2

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 first 10 terms of the sequence an Зп + 2. its 9th term is its 10th term is

A: Given that

Q: Find the 83rd term of the arithmetic sequence with 1st term 6 and common difference −1/2

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Q: What are the explicit equation and domain for an arithmetic sequence with a first term of 7 and a…

A: The Arithmetic Sequence Explicit formula allows the direct computation of any term for an arithmetic…

Q: The sequence 2, 6, 24, 120, . . .  is an example of a geometric sequence.Determine whether the…

A: Consider the given sequence 2, 6, 24, 120,.....

Q: The first, third and sixth terms of an arithmetic sequence form 3 successive terms of a geometric…

A: We use basic of arithmetic progression and geometric progression.

Q: How many terms are there in an arithmetic sequence with first  term 12, common difference −2, and…

A: Using formula.

Q: A sequence in which each term after the first differs from the preceding term by a constant amount…

A: A sequence in which each term after the first differs from the preceding term by a constant amount…

Q: Determine the sum of the first 8 terms of the geometric sequence. 3,-3, 3,

A: Given a geometric sequence.

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: Find the sum of the first 40 terms of the arithmetic sequence with first term 3 and 40th term 120

A: According to question given thatwe have to calculate the first 40 terms sum of the arithmetic…

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

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Q: Which arithmetic sequence has a first term equal to 47 and a common difference of -18?

A: To find the arithmetic sequence

Q: 4. The 1st term of an arithmetic sequence is -168 and every term after the first is 8 more than term…

A:

Q: 1,4, 16, 64, ... Identify the type of sequence: How do you know:. Explicit equation: Recursive…

A: The given sequence is 1, 4, 16, 64, ... It is same as 40, 41, 42, 43, ... Now answer the given…

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: Which term of the arithmetic sequence 1, 6, 11, 16, ... is 101? It is the th term.

A: The objective is to find which term of the arithmetic sequence is 101.

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

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

A:

Q: Find the 70th term of the arithmetic sequence 18, 34, 50,

A: Given,           The arithmetic sequence is 18, 34, 50.....and so on.

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 60 terms of the arithmetic sequence with third term 10 and eighth term 25

A: Let, first term is a, And the common difference is d. Sum of first 60 term =(60/2)(2a+59d)…

Q: )In the sequence 2, 5 , 8, 11, 14, .. , the common, =) In the sequence 2, 5, 8, 11, 14, .. , the…

A: Given query is to find the value of indicated terms.

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.