Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues. {3/4, 3/16, 3/64, 3/256, 3/1024, ⋯}

Q: Find the sum of the first 12 terms of the geometric sequence: 3, 6, 12, 24, . . . .

A: Given: 3+6+12+24+......... we all know that sum of n terms of geometric sequence is given by…

Q: The sixth term Of a geometric sequence consisting of positive integers is 96 and the tenth term is…

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

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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: Find the sum of the first 22 terms of the arithmetic sequence: 5, 12, 19, 26, . . . .

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Q: find a formula for the nth term of the sequence. 1, -1, 1, -1, 1,....

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Q: Find the sum of the first 8 terms of the geometric sequence 3,6,12,…

A: First term= a= 3 Common ratio= r= 6/3= 2

Q: The 12th term of an Arithmetic sequence is 240 while the 7th term is 196. Find the 10th term of the…

A: Consider the given 12th term of an Arithmetic sequence 240 and  term 7th of an Arithmetic sequence…

Q: Find the sum of the 1st 17 terms of a geometric sequence with 1st term 6 and common ratio 3

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Q: Find the 38th term of a sequence where the 15th term is 0 and the common difference is 1.

A: see below the answer  here we have use the sequence  as arithmetic sequence

Q: Find the sum of the first 7 terms of the geometric sequence: 8, 4, 2, 1, . . . .

A: To Find The sum of the first 7 terms of the geometric sequence: 8,4,2,1,…. Concept: Sum of first…

Q: find a formula for the nth term of the sequence. 0, 1, 1, 2, 2, 3, 3, 4,...

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Q: Write down the first five term of the geometric sequence with has first term of 1 and common…

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Q: find a formula for the nth term of the sequence. √5 - √4, √6 - √5, √7 - √6, √8 - √7, . . .

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Q: Find the specified term of the geometric sequence. 6th term: 5, 15, 45, . . .

A: sequence is 5,15,45,......... first term, a1 = 5 r = a2/a1    = 15/5     = 3

Q: Find the 13th term of the geometric sequence whose 1st term is 100, with common ratio of 10

A: Given : 1st term is 100. Common ratio is 10

Q: Find the sum of the first 15 terms of the arithmetic sequence: 3, 6, 9, 12, .........

A: Given:A.P  3,6,9,12,.....a1=3,  a2=6d=a2-a1d=6-3d=3, a=3, n=15Sn=n2[2a+(n-1)d]

Q: Find the sum of the first 20 terms of the arithmetic sequence:4, 10, 16, 22, . . . .

A: Given arithmetic sequence is: 4, 10, 16, 22, ..... The first term = a = 4 The common difference:…

Q: .Find the first four terms and the 100th term of the sequence whose nth term is given. an =2n−4

A: To find the first 4 terms we will plug n=1,2,3,4 respectively

Q: find the nth term of a sequence whose first terms are given. −3, 5, 13, 21,...

A: One have to check the difference 5--3=813-5=821-13=8 So the common difference is 8 and the first…

Q: How do I do that?

A: Given that an denotes the nth term of the sequence {10, –2, 10, –2, 10, –2, ….}.Note that the above…

Q: Find the sum of the first 45 terms of an arithmetic sequence whose general term is given by 15 + 5n

A: Given that the general term arithmetic sequence is 15 + 5n.  And we have to find out the sum of…

Q: Find the sum of the first 36 terms of the arithmetic sequence with first term 5 and 36th term 110.

A: Given first and 36th term is 5 and 110.

Q: Find the specified term of the geometric sequence. 7th term: 5, 30, 180, ... a,

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Q: Find the nth term of a sequence whose first several terms are given. 3, 16' 25 an

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Q: Find the sum of the first 8 terms of the geometric sequence if the first term is 5 and the common…

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Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

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Q: Find the 8th term of the geometric sequence whose common ratio is 1/3 and whose first term is 4.

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Q: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term

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Q: Find the 24th term of the arithmetic sequence if the first term is 3 and common ratio is 2.

A: First term =  a1 = 3  Common ratio = r = 2  We have to find a24 .

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

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: find the nth term an of a sequence whose first four terms are given.  -1,4,-9,16...................

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Q: find a formula for the nth term of the sequence. 2, 6, 10, 14, 18,...

A: 2, 6, 10, 14, 18,........ It is an arithmetic sequence with

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the value of…

A: *to find:- value of the 32nd term in Arithmetic Sequence.

Q: Find the indicated term of the sequence by finding the explicit formula for the nth term. 9. 100th…

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Q: What will be the nth term of the geometric sequence with first term a1=4, a2=8 and n = 4

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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 nth term of a sequence whose first several terms are given. 2, 5/4, 8/9, 11/16, 14/25

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

A: We have to find the general term for the given sequence.

Q: Find the sum of the first 7 terms of the Geometric Sequence 3, 6, 12, 24, …

A: We can solve the problem by geometric progression rules.

Q: Find the first four terms of a sequence whose nth term is given by n^2 - 1.

A: Topic :- Sequence

Q: Find the sum of the first 8 terms of the sequence −1, −7, −49, −343, . . . (geometric)

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Q: Find the nth term of a sequence whose first several terms are given. -2, 5, 12, 19, ... an

A: Solve arthimetic progress nth term formula

Q: Find the sum of the first 11 terms of the geometric sequence shown below. 2, 8, 32, 128, . .... The…

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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.