Find the common ratio and write out the first four terms of the geometric sequence 7n+3 6 Common ratio is aj = » a2 = > a3 = > a4 =

Q: If third and seven terms of geometric sequence is 45 and 100 respectively.then find its nineteenth…

A: Given data: The third term is a3=45. The seventh term is a7=100.

Q: The sum of the first n terms of a geometric sequence is 341. If aj = and a4 , what is the value of…

A: 1. Geometric progression (GP) is a type of sequence where each succeeding term is produced by…

Q: 1. The third and eighth term of a geometric sequence are 8 and – respectively. What is 1 4 the first…

A: 1.The nth term of geometric sequence;an = a rn-1a3 =a r28=a r2 ...(1)a8 =a r714=a r7…

Q: What is the generating function for the sequence {ck},where ck represents the number of ways to make…

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Q: ind the sum of the first eight terms of the sequence 1/8,−1/4,1/2, . . ..

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Q: The eight term in a geometric sequence with a second term 3 and fifth term 81/8, multiply with the…

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

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Q: Find the first term and the common difference of the arithmetic sequence whose 8th term is 1 and…

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Q: If the 100th term of an arithmetic sequence is 893, and its common difference is 9, then its first…

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Q: The greatest lower bound for the sequence {2, 4, 8, 16, 32, 64, . } is

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Q: The third term of the arithmetic sequence is 72 and the number of the third term with the fifth term…

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Q: m of the first 10 terms in an arithmetic

A: Given, the sum of the first 10 terms in an arithmetic sequence is 530.

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

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Q: Determine the sum of first 20 terms of the arithemetic sequence if the first term is 2 and second…

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Q: What is the sum of the first 10 terms of the sequence {300, 150, 75, ...}?

A: Given: 300,150,75,...... Formula Used: Sn=a1-rn1-r

Q: Find the sum of the first 27 terms of the arithmetic sequence. 19, 28, 37, 46, .. What is the sum of…

A: Topic = Sequence

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: If the 100th term of an arithmetic sequence is 691, and its common difference is 7, then its first…

A: nth term of an arithmetic sequence is given by, an = a1+ (n - 1)d  where a1 is first term and d is…

Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…

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Q: Find the first term and the common difference of the arithmetic sequence whose 6th term is – 9 and…

A: Explanation of the solution is given below...

Q: A row of houses will be built on the same street. The fourth house is numbered 200 and the last…

A: Here we solve problem based on arihmatic sequence.

Q: 2 The common ratio of the sequence 13 1) - 2) 3 3) -- 4) --

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Q: Find the next two terms in th. sequence. 8, 5, 2, -1, -4, [ ? ].[ ]

A: Given sequence is : 8, 5, 2, -1, -4 To find the next two terms in this sequence.

Q: 17th term of the sequence 7,4, 1,......

A: For part (1) We have to find out the 17th term of the given sequence.

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: Find the first 10 terms of the sequence an Зп + 2. its 9th term is its 10th term is

A: Given that

Q: The second term of a geometric sequence is 14 and the sixth term is 224. fin the nth term and assume…

A: we have to find the nth term

Q: A geometric sequence is a sequence in which theof successive terms is constant.

A: In a geometric sequence, the ratio between successive terms is constant. Geometric sequences grow or…

Q: How many terms are there in an arithmetic sequence with first  term 12, common difference −2, and…

A: Using formula.

Q: If the sum of second and tenth terms of aritmetic sequence is equal to 12 , find sum of fourth,…

A: Given that the sum of second and tenth terms of arithmetic sequence is equal to 12.  Now in…

Q: A patient takes 102 mg of a drug at the same time every day. Just before each tablet is taken, 5% of…

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Q: How many terms of the arithmetic sequence 20, 18, 16.... must be added so that the sum will be -100?

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Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: Find the sum of the finite geometric sequence whose first term is 1.6, whose ratio is 0.5, and which…

A: Gp

Q: To at least 3 significant figures, find the sum of the first 45 terms of this geometric sequence: -…

A: The given problem is to find the sum of first 45 terms of the given geometric sequence,  Given…

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: Find the 25th partial sum of the arithmetic sequence 75, 70, 65, 60,...,

A: Let's find.

Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 10 and common…

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Q: 1 and whose first term is 8. 2 Find the 9th term of the geometric sequence whose common ratio is

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Q: the sum of the first 40 terms of the arithmetic sequence.   −16​,−25​,−34​,−43​,...

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Q: What is the 11th term of the geometric sequence −1.5,−3,−6,−12,…?

A: Given series ,-1.5 , -3 , -6 , -12 ,---first term , a1=-1.5Common ratio , r=-3-1.5=2

Q: If the sum of second and tenth terms of aritmetic sequence is equal to 12, find sum of fourth, sixth…

A: We will find out the required value.

Q: Find the sum of the first 150 terms of the arithimetic sequence 6,9/2,3,........

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Q: The first term of an arishmetic sequence is 5 and the common difference is 5 find the nth terms of…

A: The first term of an arithmetic sequence is 5. The common difference is 5. Formula: The n-th term of…

Q: Find the infinite sum of the geometric sequence with a = 6, r = if it exists. %3D %3D

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Q: Fi

A: Explanation of the solution is given below...

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: term in a geometric sequence whose 3rd term is 5/4 and 6th term is 10?

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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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Q: Find the nth term of a sequence whose first several terms are given. 2/3, 3/4 , 4/5, 5/6

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