a The sum of the first 10 terms of an arithmetic progression in which the first term 5. is 8 is 620. (i) Find the common difference of this progression. Answer: (ii) Find the 10th term of this progression.

Q: The seventh term of an arithmetic progression is 11 and the sixteenth term is 29. Find: the common…

A: Given seventh term of A.P=11 Sixteenth term of A.P=29 We know that nth term of A.P (an)= a+(n-1)d…

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: n of a geometric progression is -108 and sixth term The common ratio

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Q: The first term of an Arithmetic Progression is 15 and the last term is 85. If the sum of all terms…

A: As per our guidelines we are supposed to answer only first question please repost other parts in the…

Q: In an arithmetic progression the first term is 5 and the common difference is 3. The nth term of the…

A: Sum of first n terms = ∑n=1nun=n22a+n-1d           where, a=first term,  d=common difference

Q: The third term of an AP is four times the sixth term and the sum of the first ten terms is 150. Find…

A: The solution is given by using formulaes for nth term and sum of n terms as below:

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: Find the first term and the common difference of an arithmetic progression in which 1s=3x-y and…

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

A:

Q: 4. Find the sum of the arithmetic sequence: 14, 10, 6, 2, -2, ..., -62 5. On Gabriela's first…

A: Arithmetic Sequence formula --- Nth term formula -- a(n)  = a1 + (n-1)d Sum of Arithmetic sequence…

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 man driving at 60 miles per hour(88 feet per second)applied his brakes and came to a complete stop…

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Q: 3. Find x so that x + 6, x + 12 and x + 15 are consecutive terms of a Geometric Progression.

A: We want to find value of x

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

A:

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: What is the nth term in the arithmetic progression 1,4,7, 10....

A: Consider the given series as 1,4,7,10...

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 an arithmetic progression of n terms (n is even), the two middle terms are p-q.p+q respectively.…

A: The formula for the sum of squares of an arithmetic progression is: sum=2n-1d26+ad(n-1)+a2×n where,…

Q: a) The third term of a geometric progression is -108 and sixth term is 32. Find: i) ii) The common…

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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: Let an​ be an arithmetic progression, for which a2​=5 and a1​=−11. Find the difference of the…

A: The objective is to find  the difference of the progression.

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: In an Arithmetic Progression the 9th term is 73 and the 4th term is 43 What is the sum of the first…

A: In an Arithmetic Progression the 9th term is 73 and the 4th term is 43 General formula for nth term…

Q: 5. Find the 10th term of the arithmetic progression 1, 3.5, 6, 8.5,...

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Q: In an arithmetic progression the first term is 5 and the common difference is 3. The nth term of the…

A:

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

A: S∞=35r=25a=?

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

A:

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: Find the sum of the first 28 terms in an arithmetic progression 1,6, 11, 16, ... . A. 2059 B. 1918…

A: Given: 1,6,11,16.... n=28,   common difference d=> 6-1 =5 first term a=1

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

A:

Q: A student studying to be a veterinarian's assistant keeps track of a kitten's weight each week for a…

A: a) The weights are 0.6 , 0.88, 1.16 , 1.44 , 1.72 common difference between them is = 0.88-0.6= 1.16…

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: In a certain arithmetic progression the 20th term is 32 and the common difference is 3 find the…

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Q: Find the 9th term of the harmonic progression 3,2,3/2

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

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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: 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. 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: 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: A6. The sum of the first, third and seventh terms of an arithmetic progression is 25. If the…

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Q: The 4th term of a geometric progression is 2/3 and the seventh term is 16/81 find the geometric…

A: If the first term of Geometric progression (GP) is a and common ratio is r than nth term of…

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

A:

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.