Find an and a3 for the geometric sequence. 27 16, а2, аз. 4

Q: Find the sum of the first 9 terms of a geometric progression The sequence is: 4, 8, 16, 32...

A: Given that  The sequence is given  To find the sum of the first 9 terms of the geometric progress

Q: Write a rule for the n th term of the geometric sequence for which a, = 28 and a, = 1792. %3D

A: Given: a2=28a5=1792

Q: Find a2 and a3 for the geometric sequence, 8, a2, a3, 27

A: Consider the sequence 8, a2, a3, 27. here, the first term is a=8 and fourth term is ar3=27   known…

Q: What is the equation for the nth term of the arithmetic sequence where a₁ = 28 and d = -6? an=28-6n…

A: Solution of given question is written in below steps.

Q: 10. Find S6 for a geometric sequence with a1 =-2 and r = 5.

A: We have to find the sum of first 6 terms of a geometric sequence with  First term a=-2 Common…

Q: 3. Find to given two terms in a geometric sequence, t₁ = 192 and t₂ = 49,152. [5]

A:

Q: What is the 10th term of the following sequence? 16, -8, 4, -2

A: Given sequence: 16,-8,4,-2,... Given sequence is a G.P. First term of G.P. a=16 Common ratio…

Q: Write a rule for the n th term of the geometric sequence for which a, = 64 and a,=1.

A: Solving by geometric sequence we have

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 8,…

A: Given,            A sequence is 8,-12,18,27,.....We know that,           A sequence is in Geometric…

Q: 2. The first term of an arithmetic sequence is -15 and the fifth term is 13. Find a40.

A: We can find the answer as below.

Q: II. Find the 50th term of the following Arithmetic Sequence. А.)-39, -33, -27, -21, ... B.)-27, -17,…

A: II-A) Given: The arithmetic sequence is -39, -33, -27, -21, ......... Here, the first term of the…

Q: 2. Which of the following is a finite sequence? A. 3,6, 9, 12, 15,.. B. 6,5, 4, 3, 2,1 C. 20, 22,…

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Q: Find a 8 of a geometric sequence if the first few terms of the sequence are given by -1,3,-9,27,...…

A:

Q: Write an expression that gives the requested term. The 12th term of the geometric sequence with the…

A: First term of geometric series  is given as;  a1=10   and   common ratio  is  r=3  aim to find the…

Q: Find the sum of the indicated number of terms of the geometric sequence. -3,6,-12,.; n = 4 Need…

A: First-term = a1 = -3  Common ratio = r= 6 / (-3) = -2 n=number of terms= 4

Q: Which of the following is NOT a geometric sequence? О5, 20, 45, 80, O4, – 12, 48, – 144, ... 08, 40,…

A: we know that if the sequence is in Geomentric sequence that is a1,a2,a3,a4,.....than the ratios that…

Q: Which of the following is an arithmetic sequence with common difference 2? A) 1,-3,5,-7,9,...…

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Q: 6. Find the missing terms in the geometric sequence 8, a2, a3, 1.

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Q: 4) Decide if the sequence is arithmetic, geometric, or neither. a) 1, 4, 9, 16, ... b) 10, 3, -4,…

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

Q: 4. Find the indicated term in each arithmetic sequence. a. 15, 21, 27, ... 11th term 2.4 b. a, = 5,…

A: In the above question I have to find 11th, 15th , and 10th term

Q: th Write a formula for the n"" term of the geometric sequence. 5, 10, 20, 40, ...

A:

Q: 4 Find the sum of the first 5 terms of a geometric sequence with a = 162 and r = 31 The sum is

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Q: sequence

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Q: Which lists four consecutive terms of an arithmetic sequence? A 3, 10, 17, 24 1, 4, 9, 16 C 1, 2, 4,…

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Q: B. Find the nth term of the sequence 1. 10, 10, 12, 16, 22, 30, ...

A: Due to our guidelines I am solving only first problem  The given sequence is  10, 10, 12, 16, 22,…

Q: 14.)Extra Credit: Find the nth term of the sequence whose first several terms are given by ?, . 11…

A: nth term of the given sequence: 21, 54,89,1116,...

Q: Write an expression that gives the requested sum. The sum of the first 38 terms of the geometric…

A: We know that a geometric sequence is a sequence with the ratio of consecutive terms constant. This…

Q: 4 Find the sum of the first 3 terms of a geometric sequence with a = 18 and r= 3 The sum is

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Q: What is the 2th term of the sequence defined below? [r, = 9 , = r +6.30 6

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Q: 2. How many terms are there in the sequence -1, -5/6, -2/3, A 25 10/3? B. 26

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Q: Find the sum of the first n terms of the geometric sequence with the given values. a, = 320, r= k --…

A: Given: a1=320r=-k2n=10 Also, the sum of  first n terms of the geometric sequence for negative value,…

Q: Find r and a, for the geometric sequence with a4 = 5 and ag 625 (Simplify your answer. Type an…

A: The 4th and 9th term of a geometric sequence are given as a4=5,   a9=1625 respectively,  the value…

Q: Find the sum of the indicated number of terms of the geometric sequence. 27 12,9, ,...; n = 5 4.…

A: Consider the geometric sequence 12, 9, 27/4, . . .

Q: B. Find the next term of the following sequence. 6. 2, 6, 10, 14, ... 7. 1, 3, 5, 7, ... 20, 14, 8,…

A: Given :   2,6,10,14.. 1,3,5,7,.. 20,14,8,2,.. 12,32,52,... 36,1,8,0

Q: Which equation can be used to find the nth term for the sequence below? 2, 5, 10, 17, .. t= term n=…

A: The equation is:-

Q: B. Write the last four terms before a, of the geometric sequence in which a, and r are as follows:…

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Q: 3. Find the 11th term of the sequence -3/2 , -1/4 , 1 , 9/4 , ... Enter your answer

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

A: We can solve as follows

Q: Find the number of terms in the geometric sequence 16, 8, 4, 2, ... , 16

A: The nth term of the GP with a as the first term, r as the common ratio is given by, an=arn-1

Q: 2. How many terms are there in the sequence -1, -5/6, -2/3, A. 25 10/3? B 26

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Q: Find the first term and the common ratio of the geometric sequence. 27 81 6, 9, 2' 4 3 O A. a, = 2 3…

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Q: Which lists four consecutive terms of an arithmetic sequence? A 3, 10, 17, 24 1, 4, 9, 16 C 1, 2, 4,…

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Q: Find S_10 given a geometric sequence with a_2=160 and r=5/4

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Q: Write the first five terms of the geometric sequence, where a₁ = 1 and r = 2 Select one: O a. 4, 8,…

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Q: Find a2 and a3 for the geometric sequence. 12, a2, a3, (4)/(9)

A: Given: a1=12, a4=49 we know that for geometric sequence first four terms is given as a, ar, ar2, ar3…

Q: Find a2 and a3 for the geometric sequence 2, a2, a3, -54.

A: we have to find a2 and a3 for the geometric sequence 2, a2, a3, -54.

Q: What are the first three terms of a geometric sequence with a = 3, and r = 2? options: 3, 5, 7…

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Q: Find the number of terms in the geometric sequence. 16,8,4,2,..........,1/16

A: The given sequence is 16, 8, 4, 2, …,1/16.Here, the common ratio is 8/16 = 1/2.From the given…

Q: Which of the following is an arithmetic sequence? O 12, 15, 20, 27, .. о-1.5, —1, O -1.5, –1, – ,…

A:

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.