The sum of the terms of an infinite geometric progression is 35 and the common ratio What is the first term of the progression? 1S -|

Q: In an Arithmetic Progression the 8th term plus the 4th term equals the 13th term. If the 18th term…

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Q: The sum of the first 17 terms of an arithmetic progression is 187. If the 17th term is -13, what is…

A: sum of first 17 term is 187 and 17th term is -13

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: There are 7 terms in a geometric progression such that the first term is 4 while the fourth term is…

A: Given, There are 7 terms in a geometric progression First-term of geometric progression = a= 4…

Q: The sums of nth term of three arithmetical progression are S,,S, and S,.The first term of each is…

A: We will solve the problem

Q: Two positive numbers x and y are in the sequence 4, x, y, 12. The first three numbers form an…

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Q: The number 28, x + 2, 112 form a geometric progression. What is the 10th term?

A: We will find out the required value.

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

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Q: The ratio of three numbers is 2:5:7. If 7 is subtracted from the second number, the resulting…

A: Explanation of the answer is as follows

Q: Express the number 220 as the sum of four numbers that form a geometric progression such that the…

A: Let the number be- a,ar,ar^2,ar^3 given a+ar+ar^2+ar^3=220 a(1+r)+ar^2(1+r)=220 (1+r)a(1+r^2)=220…

Q: Find the sum of the first 5 terms of the geometric progression if the third term is 144 and the…

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

A: In the question it is asked to calculate the value of first and thirteenth term of AP.

Q: A geometric progression has 6 terms. The first term is 192 and the common ratio is 1.5. An…

A: Topic - arithmetic progression  And geometric Progression First term is 175 and last term is 205…

Q: 3. Find the 94th term of the arithmetic progression whose fourth term is 3/3 and whose 47th term is…

A: Given, a4=33a47=463

Q: An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum…

A: For an arithmetic progression, the difference between two consecutive terms is a constant. An…

Q: Session 2013/2014 16. (a) In an arithmetic progression, the sum of the first four terms is 46 and…

A: The arithmetic progression formula for terms is an=a+(n-1)d. Here, a is the first term, n is the…

Q: Find the sum to infinity of the geometric sequence. Show your solution. 64, 16, 4, 1,

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

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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 8 terms of the geometric progression: 2, 4, 8, 16,... -. What is the sum…

A: The geometric progression is a sequence that is formed by multiplying a constant term to the…

Q: The first term of a geometric progression is 40 and the fourth term is 5. Find the sum to infinity…

A: We have to find sum of infinity of the geometric progression if first term of a progression is 40…

Q: The sum of three terms of a geometric sequence is -3, and the second is 6 more than tl first Find…

A: The solution is given below.

Q: Write the first five terms of the geometric sequence whose first term is 8, and whose common ratio…

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Q: ifth term and twice the third of an arithmetic progression equals the twelfth term. if the seventh…

A: Introduction: Arithmetic progression is a progression in which each term following the first is…

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

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Q: The product of the first three terms of a geometric progression is 3375, and their sum is 65. Find…

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Q: find the sum of the first 10 terms of geometric progression 2x,4x+14, 20x-14

A: Geometric progression: A sequence in which the next term is produced by multiplying a fixed number…

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

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Q: A geometric progression has 6 terms. The first term is 192 and the common ratio is 1.5. An…

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Q: What is the 8th term of geometric progression if the 4th term is 189 and the sixth term is 1701?

A: In geometric progression, terms are obtained by multiplying the previous term with the same number,…

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 3rd term of an arithmetic progression is 4 and the 9th term is -14. Find the sum of the first…

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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: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: The sum of three consecutive terms of a geometric sequence is 104 and their product is 13824.find…

A: Let the three consecutive terms of a geometric sequence be a, ar, ar2.

Q: Find the sum of the first 12 terms of an arithmetic progression whose 7th term is 5/3 and with a…

A: General terms  of  an A.P. is  = a ,  a+d , a+2d , a+3d ,a+4d , a+5d , a+6d  and so on ...... Where…

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 the sum of the first 11 terms in a geometric progression 1, -2, 4, -8, ... ...

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

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Q: The ratio of the 8th and 3rd term of a GP is 243. What is the common ratio of the progression?

A: Given, The ratio of the 8th and 3rd term of a GP is 243.

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: Find the first five terms of the Geometric progression whose first term is 2 terms is 54. Also find…

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Q: the first term and the second term of a progression are a and b respectively. what is the third term…

A: As we know that expression of the nth term of the Geometric progression is: an=arn-1 Where 'a' is…

Q: Find the geometric progression if the 5th term is 12 and the 8th term is 324.what is the sum to…

A: Let the geometric progression is a, ar, ar2, ar3, ar4, ar5, .... Given the 5th term is 12 That is…

Q: Express the number 220 as the sum of four numbers that form a geometric progression such that the…

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Q: 3. The sum of three numbers in geometric progression is 52. If 8 is added to the middle number, the…

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

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

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Q: 2. There are 7 terms in a geometric progression such that the first term is 4 while the fourth term…

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Q: the sum of the first n terms of an arithmetic progression is given by Sn=3n2 - n i) common…

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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.