Which term in this sequence would first exceed or equal 32,000?  What is the sum from the 1st term to this term?

Q: alculate the next term in the geometric sequence that is calculated with a ratio of 24 if the…

A: Definition used -                   Geometric sequence -                          It is a sequence…

Q: The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find…

A: The first term of the arithmetic sequence, a1 =6 he common difference,d= 3

Q: Find the 57th term of an arithmetic progression when the 1st term is -18 and the common difference…

A: We use the nth term of an arithmetic progression to answer the given question.

Q: b. Find the first five terms of the Geometric progression whose first term is 2 and fourth terms is…

A: As a g.p. is always of the form a,ar,ar2,ar3,... Here a is the first term and r is the common ratio,…

Q: The second term of an infinite geometric progression (|q|<1) is 21 and the sum of the progression…

A: Let the first term= a and common ratio=r  Given the second term= 21 So, ar=21

Q: What is the difference between sequence and progression?

A: Definition of the Sequence : Sequence are a set of numbers, which are arranged according to any…

Q: Find the sum of the first 28 terms in an arithmetic progression 1, 6, 11, 16,..

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Q: Which one of the following sequences is an arithmetic progression? 3,6,12,24,48,... O 1,4,9,16,25,..…

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Q: Given the first three terms of an arithmetic progression as 2x, x + 4 and 2x – 6 respectively. Find…

A: Hi there, we can answer only one question at a time and you was not specify. so, I have answered…

Q: The second term of a geometric sequence is 6 and the fourth term is 96. Find the possible values of…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: State the sixth term of the following geometric progressions 288, 144, 72, .

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Q: The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the…

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Q: The 10th term of an arithmetic progression is 4 and the sum of the first 7 terms is -28. Find the…

A: General formula of nth term of arithmetic progression is an=a+n-1d. 10th term is 4, that is a10=4…

Q: In an arithmetic progression, the sum of the first five terms is 30, and the third term is equalto…

A: We have given  Sum of the first five terns of an arithmetic progression = 30 S5 = 30 Sum of n terms…

Q: A Geometric Progression has the following terms: 5000, 5550, ... . Which term in this sequence would…

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Q: If 4, x, y form an arithmetic progression and x, y, 18 form a geometric progression, what is the…

A: Three numbers a,b,c are A.P. then the difference between the two consecutive numbers remains…

Q: If 12 and 384 are the second and seventh term, respectively, of a geometric progression, find the…

A: Since, we have been given that the second and seventh term of a geometric progression are 12 and 384…

Q: The sum of first six terms of an arithmetic progression is 42.The ratio of its 10th term to its 30th…

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Q: In a geometrical progression, the sum of the second and third terms is 9,and the seventh term is…

A: Given Information - In a geometrical progression, the sum of the second and third terms is 9,and the…

Q: In a geometric progression, the sum of the first term and the third term is 10 while the difference…

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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: n a geometric progression, the third term exceeds the first term by 9 and the sum of the second term…

A: Topic = Series

Q: The 4th term of a geometric progression is and the seventh 16 term is 81 20 find the geometric…

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Q: The first term and the last term of an arithemetic progression are 17 and 350  respectively . If the…

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Q: a. The third and eighth term of an Arithmetic progression are 470 and 380 respectively. Find the…

A: As per our guidelines we are supposed to asnwer only one asked question.So kindly repost other…

Q: find the 20 term in a geometric progression 1,2,4...

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Q: The sum of the terms of an infinite geometric progression is 35 and the common ratio What is the…

A: S∞=35r=25a=?

Q: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

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Q: {an} is an arithmetic progression with an non-zero common difference.the sum of all terms between…

A: Finding nth term of A. P progression whose value is 7

Q: An arithmetic progression has the first term of 32, the 5th term of 22 and the last term of −28.…

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Q: 7. If the 3rd term of an arithmetic progression is 4 and the 9th term is -14, solve for the common…

A: Given: The 3rd term of an arithmetic progression is 4 and the 9th term is -14. Required: To find the…

Q: The first term of an infinite geometric progression is 5 and the sum of its terms is 20. What is the…

A: Given that  First term of G.P is  a=5 The sum of infinite terms is  S=20 We have to find common…

Q: Find the 20 term of a geometric progression 1,2, 4, ...

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Q: Given the first three terms of an arithmetic progression as 2x, x+4 and 2x-6 respectively. Find the…

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Q: 2. Find the first three terms of geometric Progression whose sum is 342 and product is 74,088 Let…

A: Solution : First three terms of GP are, ar,a,ar Sum of first three terms of GP=342 ar+a+ar=342  …(1)…

Q: The 7th term of an arithmetic sequence is −41, and the common difference is −2. Find the first term.

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Q: In a geometric progression the first term is 153 and the sixth term is 17/27 . The sum of the first…

A: we have to find the sum of the first four term

Q: Find four numbers that form a geometric progression such that the second term is less than the first…

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Q: An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is?

A: Formula,   S(n) = (n/2) * [2a + (n-1)*d]

Q: (b) The nth term of a geometric progression is given by T, Find the sum of first four terms.

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Q: The fourth term of an arithmetic sequence is 14, and the 20th term is 110. Find the common…

A: As we know that the nth term of the arithmetic sequence is: tn=a+(n-1)d Where 'a' is the first term…

Q: A. Find the sum of the first 20th terms of the given arithmetic progression if the first term is 5…

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Q: (a) The 1st term of a geometric progression is 4 and the 6th term is 128. Determine the 8th and 11th…

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Q: If the 3rd term of a geometric progression is 52 and the 7th term is 832, then find the 16th term of…

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Q: The first term of a geometric progression is 12 and the fifth term is 55. Determine the 8th and the…

A: Given information: The first term of a geometric progression is 12 and the fifth term is 55. Concept…

Q: If 7, 9. 8 and 1, are added, respectively, to the four terms of a geometric progression; the…

A: Let the geometric progression is a, ar, ar2, ar3 Then add 7, 9, 8, 1 in the above terms…

Q: Find the 57th term of an arithmetic progression when the 1st term is -18 and the common difference…

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Q: Find four numbers that form a geometric progression such that the third term is greater than the…

A: Solving by geometric progressions we have

Q: Given the sequence of numbers: {-3,9,-27,..} a) What kind of set is the sequence? b) What kind of…

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Q: The first three terms of an arithmetic progression are h - 2, 5k - 1, 2h + k, ... Express k in terms…

A: Given that the first three terms of an arithmetic progression are h - 2, 5k - 1, 2h + k, ... . we…

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.