Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is greater than the second by 36. 01 Swer: OOO

Q: b. Find the sequence of circles. What is the sum of the areas of all of the circles? Take radius of…

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Q: The 4th term of a geometric progression is 2/3 and the seventh is 16/81.Find the geometric series

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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: The sum of the terms of an infinite geometric progression is 35 and the common ratio 1S What is the…

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Q: Find the first five terms of the arithmetic progression whose fourth and eleventh terms are 30 and…

A: Given the fourth and eleventh terms of an arithmetic progression is 30 and 107

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

A: i have given the formu;a i have used in the solution   and all the functions are standard contineous…

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: 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: find the sum of the first 15th terms in the given progression of 1/2,1/4, 1/6……… (complete…

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

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Q: Find t, for the arithmetic progression 19, 14. 9. 72 swer:

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Q: Which of the following is the correct first four terms of the geometric progression with initial…

A: Introduction: Geometric Progression (GP) is a type of sequence in mathematics in which each…

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: 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: is 28 and the 7th term is 448, then find the 9th term of this GP. Show all steps.

A: Introduction: A geometric progression is a sort of progression in which each term has a fixed ratio…

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: Find the next three terms in each sequence. You must show your work 1, 3, 4, 7, 11, 18, _, _, _

A: given,        1,3,4,7,11,18,__,__,__

Q: A 62 metre length of rope is cut into pieces whose lengths are in arithmetic progression witha…

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

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Q: write the next three of the given sequence 1, 1/3, 1/9, 1/27, __, __, __,

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Q: Find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16 …

A: To find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16 ...

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: 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: Write the first five terms of the geometric sequence.

A: Given,

Q: If the 3rd term of a geometric progression is 28 and the 7th term is 448, then find the 9th term of…

A: Use the formula for the nth term of a Geometric Progression (GP).

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

A: Given query is to find the sum of first 11 terms of geometric progression.

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

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Q: Find next three terms of geometric progression 5,25,125

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

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

A: Given GP - 3100, 4247 ......4247 is the term which will exceed the 3200.Hence, only one term 4247…

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: (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 sum of first 6 terms of an arithemetic progression is 42 the ratio of its 10th term to its 30th…

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

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Q: Which one is a geometric progression? 3,12,48,192,... 1,4,9,16,25,... 6,9,12,18,21,...…

A: Solution

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.