3. Find the sum of the first 10 terms of the geometric sequence: 7,-14, 28, -56,. 3. 4. Find the sum of the first 15 terms of the geometric sequence: 5,-15,45,-135, .

Q: The 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term…

A:

Q: Determine the sum of the first 7 terms of the geometric sequence. 3,12, 48, ... S7 =

A: Let, s0,s1 ,s2 ,.... be geometric sequence with common ratio r . Then , the nth term of the sequence…

Q: 4. Find the 52nd term of the arithmetic sequence: 3, 7, 11, 15, ...

A: To find The 52nd term in arithmetic sequence 3,7,11,15,....

Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, .?

A: we have to find out the 46th term

Q: 4. Find the common difference of the arithmetic sequence for which the first term is -12 and 23rd…

A:

Q: 41. Find the sum of the first 70 terms of the arithmetic sequence with first term 10 and common…

A: "The student ask for the question number 41, so I am solving the question number 41." Given that,…

Q: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...

A: The arithmetic sequence: 2,4,6,8,10,12,.......

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 first four terms of the geometric sequence where a = 3 and r = 2.

A:

Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, ...?

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Q: What is the 5th term of the geometric sequence 3/20, 3/2, 15, …? Show your solution.

A:

Q: 3. Evaluate to find the sum of the first 7 terms in the arithmetic sequence. 8, 2, -4, ...- 28

A:

Q: 8. Find the number of terms of the finite arithmetic sequence {7, 16, 25, 34, ...,574}. Make sure to…

A: Explained below

Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

A:

Q: The first term of an arithmetic sequence is -1 and the fifteenth term is 27. Find the sum of the…

A:

Q: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?

A: First-term, a=2 Common ratio, r = 4/2 = 2

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

A:

Q: 27 3. Explain how you would find the general term of the sequence: 4, -6, 9, - ".

A:

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

A:

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. a. What is the 31st term of the…

A: We have to find: a 31st term of the sequence b sum of first 31 terms of the sequence Where three…

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. A) What is the 31st term of the…

A: The terms of the AP are, a1=7a2=10.5a3=14   The common difference is, d=a2-a1=10.5-7=3.5   Thus, the…

Q: What is the sum of the first 9 terms of the given geometric sequence? 3,9, 27, 81, .. A 351 29,523…

A:

Q: Determine the sum of the first 8 terms of the geometric sequence. 3,-3, 3,

A: Given a geometric sequence.

Q: Find the sum of the first 12 terms of the geometric sequence shown below. 4​,12,,36,108,...   the…

A:

Q: What are the next three terms of the arithmetic sequence −14,−9,−4,1,...?

A:

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

A:

Q: Find the sum of the first 30 terms of the arithmetic sequence: 7, 3, -1, -5, . .

A:

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

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: The 9th term of an arithmetic sequence is 19 and the 20th term is 20.3 What are the first three…

A:

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 3 , 3, – 12, 48, .. The…

A: The geometric sequence is given by -34, 3, -12, 48,.... To evaluate : The sum of first 14 terms.

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: 17. Find the number of terms of the finite arithmetic sequence: 8, 14, 20, 26, ..., 320. (Make sure…

A:

Q: Fine the sum of the first 127 terms of the arithmetic sequence 14,9,4, 

A:

Q: What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64? 1)…

A:

Q: Find the first 3 terms of the geometric sequence with a, = -160 and a, = 1,280. а. 5,-10, 20 с. 5,…

A: Given data: a6=-160 a9=1280 Solution: The above terms given in the geometric sequence. We know the…

Q: The geometric mean between the first two terms in a geometric sequence is 32. If the third term is…

A: Topic - geometric progression

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

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Q: 1. Find the 25th term of the arithmetic sequence -7,-4, -1, 2, ..

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Q: Find the sum of the first 50 terms of the arithmetic sequence with the first term 10 and the common…

A: The first term of the arithmetic sequence is a=0. The common difference is d=12. The number of term…

Q: 3. -5, 15, -45,... n = 7

A:

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

A:

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

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Q: The sum of the first 33 terms of the geometric sequence 1, 2, 4

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.