In a geometric sequence, a, = - 18, as = 2/3, find a6.

Q: Given a geometric sequence with a 3= 20 and a 8= 640, find a 1 and r

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Q: Find the common ratio of the geometric sequence 7, 63, 567, ...

A: use the formula for the common ratio of a geometric sequence.

Q: in an arithmetic sequence, the first term, a1, is equal to 1, and the seventh term, a7, is equal to…

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

Q: Given a geometric sequence with a2 = 3 and a5 = -81, find r and a9.

A: Explanation: a2=a1.r2-1           or   a5=a1.r5-1      3=a1.r1  ----1 -81=a1.r4   ----2Dividing…

Q: Find the 10th term of the geometric sequence 10,-50, 250,…

A: First find the common ratio r of the geometric sequence than with the help of nth term express find…

Q: Find a, and an for the arithmetic sequence. as = - 2, ag = 10 a4 = an %3D

A: nth term of AP is given by, an= a+(n-1)d

Q: Find the indicated term for the geometric sequence with the first term, a1, and common ratio, r.…

A: Solution

Q: Write the first five terms of the geometric sequence, a1 = 5, r = 3

A: Given that  a1=5r=3

Q: Find the indicated term of the geometric sequence -2, 6, -18, ...; a7 a7 =

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Q: For the geometric sequence, 1 169, –13, 1, 13 - What is the common ratio? What is the fifth term?

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Q: How many terms are in the geometric sequence   15,  30, …, 15360 ?

A: Given  geometric sequence 15,30, ---------,15360 Where a1= first term =15               R = common…

Q: The 7th term of an arithmetic sequence is -37, and the 10th term is -121. Find a,d and the general…

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Q: Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and…

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

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

Q: In an arithmetic sequence, a, = -3 and d = -5. What is a4?

A: The nth term of an arithmetic sequence is an=a+n-1d Here,  a= first termd= common difference Now,…

Q: Given a geometric sequence with a4 = 4 and a7 = 12, find r and a10.

A: a4=4  &  a7=12⇒a·r3=4   →1  &  a·r6=12   →2    ∵an=a·rn-1 Now dividing equation (2) by…

Q: Find the common ratio of the geometric sequence -7, -14,-28, ...

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Q: Find the 8th term of the geometric sequence 7, -21, 63, …

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Q: Find the common ratio of the geometric sequence 11, -88, 704, ...

A: the given series is  11,-88,704,..... to find the common ratio, divide the second term by the first…

Q: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

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Q: For an arithmetic sequence, a4 = 60. If the common difference is 7, find: aj = the sum of the first…

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Q: For a given arithmetic sequence, the 93rd term, ag3, is equal to 479, and the 12th term, a;2, is…

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Q: Find the common ratio of the geometric sequence: {- 4, 32, – 256, 2048, – 16384, ...}

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Q: Find the 8th term of the geometric sequence show below 2a", 10a°, 50a,..

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Q: Given the geometric sequence, find the 8th term: 4, –8, 16, –32, ...

A: The objective is to find the 8th term of the geometric sequence.

Q: Is the sequence geometric? If so, identify the common ratio. 2, -4, -16, -36, ....

A: We know that Geometric sequence has common ratio The formula for nth term  is  an=arn-1 Where a is…

Q: Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

A: A geometric sequence is the one in which ratio of two consecutive terms is same and that ratio is…

Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: The first term of the arithmetic sequence is given as -296 The common difference of the arithmetic…

Q: Find the common ratio and S, for geometric sequence 27, 9, 3.

A: To find the common ratio and S5 for a given geometric sequence

Q: Find the indicated term of the geometric sequence. an= (n-1) 6, where a1 = -2. Find a4. %3D a4=

A: We will solve the given question using two different methods. In the first method we will solve step…

Q: What is the value of a 25 in the geometric sequence represented by a1 = 4 and r 1.5?

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Q: For the geometric sequence 3, 12, 48, 192, ., .... find the indicated term. 14th term:

A: From the given geometric sequence:   3,12,48,192,....   As we know that the expression for nth term…

Q: For an arithmetic sequence, a5 = 21. If the common difference is 4, find: a1 = the sum of the first…

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Q: What is the first term in the geometric sequence given that a4 = 40 and r = -? %3D 2

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Q: Find the nth term of the geometric sequence. -4, 20, -100,... an

A: This is geometric series . Here is given solution with steps.

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

A: The real sequence is a mapping from the set of natural numbers to the set of real numbers. A…

Q: In an arithmetic sequence, the first term is -8 and the sum of the first 20 terms is 790 Whats the…

A: By using sum of arithmetic sequence formula, we calculate the common difference of arithmetic…

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.-6, -4.5, -3, -1.5,…

A: Given: Arithmetic sequence. -6, -4.5, -3, -1.5

Q: For a given arithmetic sequence, the 40 term, a0 is equal to -324, and the 72 term, a, is equal to…

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Q: Find the common ratio of the geometric sequence -12, 84, -588,...

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Q: Find the common ratio of the geometric sequence 40, 30, 22-

A: Given series is, 40,30,2212,...

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

A: Given, sequence is in Arithmetic progression. Formula for nth term is given by  an= a+(n-1)d Where a…

Q: Which explicit formula describes the geometric sequence {,,7 }? ) an= + (n-1)(좋) (중)까-1 n-1 an =…

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Q: In an arithmetic sequence, t11 = 72 and t21 = 142. What is the value of the first term and what is…

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Q: Find the common ratio of the geometric sequence: {- 8, 56, – 392, 2744, 19208, ...} r =

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Q: -1, _, -4, .

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Q: For an arithmetic sequence, a30 = 29. If the common difference is -8, find: ai = the sum of the…

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Q: In an arithmetic sequence, the first term is 7 and the 20th term is 83 then find the value of S20.

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

A: # we are entitled to solve one question at a time ,please resubmit the other questions if you wish…

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.