The first three terms of a geometric sequence are as 64, 32, 16 Find the next two terms of this sequence. 64, 32, 16,

Q: If the 3rd term of a geometric sequence is 28 and the 7th term is 448. Find the common difference…

A: The given data is: The 3rd term of a geometric sequence is 28 and the 7th term is 448. To find the…

Q: The first eight terms of a sequence are as follows: 2, 6, 12, 20, 30, 42, 56, 72, Find a closed…

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Q: The second and seventh terms of a geometric sequence are 15 and 46875 respectively. Which term of…

A: Topic =Series

Q: the 64th term of the arithmetic sequence -4, -21, -38, ...−4,−21,−38,...

A: Here I am attaching image so that you understand each and every step.

Q: What is the degree of the sequence 3, 6, 13, 25, 45, 78, ...? A degree of 1 B degree of 2 C degree…

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Q: The second term of geometric sequence is ¾ and the fourth term is 3. Find the first term. Show your…

A: Given second term of geometric sequence is 3/4 and fourth term is 3 i.e we know geometric sequence…

Q: The second and fifth terms in an arithmetic sequence are 12 and 18 respectively. What is the 100th…

A: Use  an=a1+n-1d  to solve the problem.

Q: Find the sum of the first 12 terms of the geometric sequence 3, -9, 27, -81, 243, ..

A: Geometric sequence 3,-9, 27,-81, 243.... To find :- Sum of first 12 terms of given sequence

Q: Find the sum of the first 40 terms of the sequence 9, 18, 27, 36, ...

A: 9, 18, 27, 36, ........ It is an arithmetic sequence with, First term=a=9Common difference=d=9

Q: Find the sum of the first 94 terms of the arithmetic sequence   11,15,19,23,27, . . . .

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Q: What is the sum of the first 145 terms in this sequence? 25, 21, 17, 13,...

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Q: Which term of the sequence 9, 9.4, 9.8... is 17?

A: Given that :-   The sequence                            9 , 9.4 , 9.8  _ _  _ _ To find :- which…

Q: The eight term of an arithmetic sequence is 216 and the seventeenth term is 369. Find the following…

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Q: find the first five terms of the sequence. If a,=2 and a,= 2a,-1 %3D

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Q: The first four terms of a sequence are given: 23, 21, 19, 17..., find the 50th term of the sequence.

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

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Q: How many terms of the arithmetic sequence {2,4,6,8,...}will give a sum of 600?

A: The given arithmetic sequence is {2,4,6,8,.....} an the sum is 600 We know,

Q: The fifth and tenth terms of a geometric sequence are 10 and 31250 respectively. Which term of the…

A: NOTE: Refresh your page if you can't see any equations. . the fifth and tenth terms of a geometric…

Q: Find the 37th term of an arithmetic sequence whose second and third terms are −4 and 12.

A: Note:-  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The first four terms of an arithmetic sequence are given. 27, 32, 37, 42, .. What is the 60th term…

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Q: The first term in an arithmetic sequence is 11 and the sum of the first 15 terms is 900. What is the…

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Q: Find the missing terms to complete a given sequence. 4,-8,16, , .

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Q: Which term of the geometric sequence 6, 18, 54, … is 118098

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Q: Find the tenth term of the sequence. 1,0, -3, -8, - 15, ... The tenth term is

A: Given series: 1, 0, -3, -8, -15

Q: What is the 10th term of the sequence 3, 9, 27, 81, ...?

A: Here the terms are with common ratio r =3 and they are in geometric progression. You can observe by…

Q: What is the formula for this sequence and what is the nth-term of the sequence?…

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Q: The first, third and sixth terms of an arithmetic sequence form 3 successive terms of a geometric…

A: We use basic of arithmetic progression and geometric progression.

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 next two terms of the sequence? THEN WRITE the explicit form of the sequence. 1.)  {3,…

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Q: The 4th term and 15th term of an arithmetic sequence are 24 and 123 respectively. Find the 72nd…

A: Given problem Given that   The 4th term and 15th term of an arithmetic sequence are 24 and 123…

Q: Suppose the first 4 terms of an arithmetic sequence are 3, x, y, 26, .-. Determine what x and y must…

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Q: Find the 12th term of the arithmetic sequence 9,7, 5, .. Answer: Find the first term and the common…

A: We have to find the 12th term and first term and common difference of the given sequence.

Q: 2) 2, 4, 64, 128

A: Given geometric sequence is 2, 4,__, __,__64, 128

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

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Q: The SECOND and THIRD term in a geometric sequence is 16 and 5th term is 54. Find the sum of the…

A: Topic:- sequence and series

Q: The first term of an arithmetic sequence is -12. The common difference of the sequence is 7. What is…

A: We have to find the sum of  first 30 terms of the sequence

Q: How many terms of the arithmetic sequence -2,3,8… must be added to get 1573? Thank you for the help

A: Sol:- As we Know that . nth term in arithmetic sequence is given by :- an=a1+n-1dWhere d= common…

Q: What is the fifteenth term of the sequence 5,-10,20,–40,80,...?

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Q: The sum of the first 10 terms of an arithmetic sequence is 530. What is the first term if the last…

A: I have appended the formula used in the solution part.

Q: : Which term of the sequence 4, 9, 14, 19..... is 124 ?

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Q: Find the nth term of a sequence 2,5,10,17,26, ...

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Q: Find the 70th term of the arithmetic sequence 18, 34, 50,

A: Given,           The arithmetic sequence is 18, 34, 50.....and so on.

Q: Write the first six terms of the arithmetic sequence with the given properties. 20th term is  −47;…

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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: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 17 and…

A: The general form of arithmetic sequence is a,a+d,a+2d,......,Where a  is the first term of the…

Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

A: If series is Geometric then common ratio of all terms will be equal

Q: The first three terms of a geometric sequence are as 5, -20, 80 Find the next two terms of this…

A: A sequence is a function with domain being set of natural numbers and the range being the set of…

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

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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.