Find the common ratio and write out the first four terms of the geometric sequence -1 6n 7 Common ratio is ai = » a2 = > a3 = » a4 =

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What would be…

A: Given A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What…

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: Find the sum, if it exists, of the infinite geometric series related to 64(1) . n-1 the infinite…

A: So option (b) is correct.using the formula  S=a/1-r

Q: An arithmetic sequence has a its 5 th term equal to 22 and its 15 th term equal to 62. Find its 100…

A:

Q: Find the first 25 terms of Fibonacci Sequence-

A: The Fibonacci sequence is a sequence where the next term is the sum of the previous two terms. The…

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

A:

Q: Find the first four terms and the eighth term of the sequence.

A: Consider a sequence an. Then, the terms of the sequence are given by: a1, a2, a3..., an, .... where…

Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: Given 5n3-2n2

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: Find the first five terms and the 14" term of a sequence with 2n +1 general term a, 2n-1

A: Given,         The first five terms and the 14th term of a sequence with the general          term ,…

Q: Fibonacci sequence

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: (1) Using the appropriate formula, find the 17th term of the sequence 7,4, 1,....

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 11 and the 13" term, a,3, is equal to 33. Find the value of the 17t" For a given geometric sequence,…

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Q: The first term of a geometric sequence is  1536 and the common ratio is 1 /2 . Which term of the…

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Q: ind the 85th term of the arithmetic sequence with first term 1 and common difference -1/2

A: As we know that the expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where 'a'…

Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: To find first four terms and seventh term of sequence .

Q: The 1st, 5th, and 13th terms of an arithmetic sequence re the first three terms of  geometric…

A: Let the first term of arithmetic series be a0 So the fifth term is And the thirteenth term is   So…

Q: If the 100th term of an arithmetic sequence is 691, and its common difference is 7, then its first…

A: nth term of an arithmetic sequence is given by, an = a1+ (n - 1)d  where a1 is first term and d is…

Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What…

A: FIND EXPLANATION BELOW

Q: The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1 + Fn-2-

A: Given statement is The Fibonacci number is a sequence which is described explicitly by  Fn = Fn-1 +…

Q: The formula for a sequence is 2n+3 where n=1,2,3... Show the first four terms of the sequence

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Q: The first term of an arithmetic sequence is 10, and the tenth term is 2.(a) Find the common…

A: a = 10 ,   a10 = 2   Using an = a + n - 1da a10 = a +  n - 1 d         2  = 10 + 9 d2 - 10  = 9d…

Q: Find the 7tn term of the geometric sequence whose common ratio is and whose first term is 4.

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Q: The sum of three terms of a geometric sequence is -3, and the second is 6 more than tl first Find…

A: The solution is given below.

Q: 1. Find the sum of the terms of an infinite geometric sequence whose first term is 4 and common…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The second term of a geometric sequence is 14 and the sixth term is 224. fin the nth term and assume…

A: we have to find the nth term

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: An arithmetice sequence has first term a =1 and fourth term ag = 16. How many terms of this sequence…

A:

Q: Find the common ratio and write out the first four terms of the geometric sequence 4n-2 3 (Round any…

A: As per our guideline if multiple questions are posted we are supposed to  answer only the first one.…

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: Choose an expression for the apparent nth term of the sequence. Assume that n begins with 1. 1,-1,…

A: Given sequence 1 , -1  , 1 , -1 ,  1 ,  . . . . . .

Q: Find the 10th and 20th terms of the geometric sequence with first term 3 and common ratio 2

A: Given: first term 3 and common ratio 2. To find: Find the 10th and 20th terms of the geometric…

Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

A:

Q: Find the sum of the first five terms of the geometric sequence with first term 3 and common ratio 2.

A:

Q: An arithmetic sequence has first term aj = 1 and fourth term a4 = 16. How many terms of this…

A:

Q: An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to 52. Find its…

A:

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

A: Solution: From the given information, the town has a population of 5000 persons. But it is expected…

Q: Find the first five terms of the infinite sequence whose nth term is given. an = 3n - 1 %3D

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Q: 1 and whose first term is 8. 2 Find the 9th term of the geometric sequence whose common ratio is

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Q: 2. Write the first five terms of the sequence given by Un= on 3n2 -1

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Q: find the speafied geometric sequence. 9, = 20, a term of the 135 %3D %3D 16 a3=?

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Q: Find the sum of the first 150 terms of the arithimetic sequence 6,9/2,3,........

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Q: The fourth term of a geometric sequence is 135 3645 and the seventh term is 4. Find the first 32…

A: Given :                     The fourth term of the geometric sequence is 1354 and seventhterm of…

Q: 2) The sum of the first 16 terms of an arithmetic sequence is 212 and the fifth term is 8. a) Find…

A:

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: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: The first term of an arishmetic sequence is 5 and the common difference is 5 find the nth terms of…

A: The first term of an arithmetic sequence is 5. The common difference is 5. Formula: The n-th term of…

Q: Find the sum of the first n terms of the arithmetic sequence.−9 + (−12) + (−15)+ ... (to 10 terms)…

A: It is an arithmetic series with  Now sum of the first n terms is,

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.