The fourth term of a geometric sequence is 135 3645 and the seventh term is 4. Find the first 32 term and the third term. aj = az =

Q: Find the sum of the first five odd terms of the Fibonacci sequence.

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....

A: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....…

Q: If the first two terms of a Fibonacci sequence are 32, 83, then what is the next term ?

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

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Q: In an arithmetic sequence, if az = -12 and ag =-31, then the common difference d is O 19 O 22 O 21 O…

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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: Fibonacci sequence

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Q: 40. Find a, andr for a geometric sequence given that az = 18 and a = 486.

A: Given: a3=18    a6=486

Q: The first term a, of a geometric sequence is 20 and the common ratio r is 5, find the fifth term a,…

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Q: The second term of a geometric sequence is 10, and the fifth term is 1250/27 . Find the nth term.

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Q: 1. The first term of an arithmetic sequence is 9689 and the 100th term is 8996. a) Find the general…

A: The solution is given below

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: The 9th term of a geometric sequence is 32805, and the 12th term is 885735. Find the first and nth…

A: The 9thterm of the geometric sequence is 32805 and the 12th term is 885735.

Q: 18. Find a, andr for a geometric sequence if az = 18 and a, formulas.) 144. (Make sure to use the…

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Q: A geometric sequence has a first term of 8/3 (fraction) and a fourth term of 9.  Find the common…

A: For the given GPfirst term a=83fourth term T4=9 To find the common ratio r

Q: Let Fib(n) be the nth term of the Fibonacci sequence, with Fib(1)=1, Fib(2)=1, Fib(3)=2, and so on.…

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Q: The 24th term of a Fibonacci sequence is 46368 and the 25th term is 75025. What is the 22nd term? a.…

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Q: Find a formula for the nth term of the given geometric sequence. 7, 28, 112,

A: Given: 7,  28,  112,  ...

Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

A: As we know that :nth term of AP = a+(n-1)dHere we have        a11=42 = a+(11-1)d..............(1)…

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: Find the nth term, the fifth term, and the eighth term of the geometric sequence.2, 6, 18, 54,...

A: The geometric sequence is: 2, 6, 18, 54,..... We have to find the fifth, eighth and the nth term of…

Q: Given the explicit formula for a sequence, find the first five terms and the 52nd term. 1) а — 41-…

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Q: The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first…

A: Given, First term = 8 Fourth term = 216

Q: For a given geometric sequence, the 3rd term is equal to 29/81 and the 8th term is equal to -87.…

A: Concept:

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: is equal to 240, and the 5" term, ac, is equal to 36. a73 term, For a given arithmetic sequence, the…

A: A sequence is funfction  from the set of natural numbers to the set of real numbers. A sequennce can…

Q: Find the first 4 terms and the 12th term of the geometric sequence: n а, 3D 1024|

A: We are given the following geometric series.               an=102412n Now,…

Q: The 6th term of a geometric sequence is 1215 and the 12th term is 885735. Determine the value(s) of…

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Q: Find the sum of an 8-term geometric sequence when the first term is 7 and the last term is 114,688…

A: Given query is to find the sum of the 8 term of geometric sequence.

Q: What three numbers can be inserted between 81 and 16, so that  the five numbers form a geometric…

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Q: Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the…

A: Given: The geometric sequence,  2, 22, 242, ... To find: The formula for the nth term of the…

Q: If the 100th term of an arithmetic sequence is 182, and its common difference is 2, then its first…

A: Given that the 100th term of an arithmetic sequence is 182 and its common difference is 2.

Q: The first term of a geometric sequence is 12, and the third term is 16/3. Find the fifth term.…

A: Given that first term of the geometric sequence is 12. Third term of the third term is 16/3. We have…

Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36. Count the sum of the first…

A: We use the sum of an arithmetic sequence to answer the given question.

Q: 6. Find the indicated nth term of the geometric sequence. 22th term : 8, 32, 128, ...

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Q: If the 100th term of an arithmetic sequence is 476, and its common difference is 5, then its first…

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Q: Photo #1: Question Photo #2: Answer Key

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Q: Given the first four terms in an arithmetic sequence, find the recursive formula. 39, 34, 29, 24

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Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

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Q: Given a geometric sequence whose first term is 3 and its common ratio is Find i) the 8 term, ii) the…

A: a=3  &  r=12. i. Eighth term is, T8=ar7    ∵Tn=arn-1=3127=3128

Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

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

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Q: If the 100th term of an arithmetic sequence is 213, and it's common difference 2, then what is the…

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Q: If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is the first…

A: Sixth term of G.P is 972 Tenth term of G.P is 78732 T6=ar6-1=972......equation 1…

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Write the first term and the common ratio of the sequence. a=3,r=63=2

Q: The first term a, of a geometric sequence is 10 and the common ratio r is 5, find the sum of first…

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Q: Find the 36th term of the arithimetic sequence with third term 10 and eight term 25?

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Q: If the 100th term of an arithmetic sequence is 589, and its common difference is 6, then its first…

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Q: If 5, 25 are two adjacent terms in a geometric sequence ( in that order), then the next term is

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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.