1) Write down the 10th and 19th terms of the arithmetic Progressions 8, 11, 14, . ..

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: what is the sum of the first 11 terms of geometric progression

A: The sum of the first 11 terms of geometric progression

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: What is arithmetic progression in simple words?

A: Arithmetic progression is a sequence of numbers such that the difference between any two consecutive…

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

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Q: 5. Find the first five terms of the recursively defined infinite sequence: а, %3D 2, а, %3D5 & a,…

A: a1=2, a2=5 and ak+1=9ak-4ak-1

Q: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...

A: The arithmetic sequence: 2,4,6,8,10,12,.......

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

A:

Q: If 3rd term and 9th term of an arithmetic progression are 4 and - 8 respectively which term of the…

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Q: e2, e4, e6,e®,..

A: The given sequence is, e2, e4, e6, e8, … To determine whether the sequence is Arithmetic or…

Q: (a) The 1st term of an arithmetic progression is 17 and the 6th term is 62. Determine the 8th and…

A: We have to answer questions on Arithmetic progression.

Q: Find all arithmetic progressions with a difference 10 formed of more than 2 primes.

A: We have to find all arithmetic progressions with a difference 10 formed of more than 2 prime.

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: Which is the next logical image in the sequence? A

A: We have to tell which option is correct  for next sequence of image.

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

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

Q: 11) Fill in the missing terms in the arithmetic sequence. 2, -_14, _ 23,

A: SOLUTION-

Q: Consider the following arithmetic progression 2, 7, 12, 17, 22, 27... Find the 20th term

A: The given Arithmetic Progression is 2, 7, 12, 17, 22, 27, ... Here, the first term is a=2. The…

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

A:

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

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Q: Let an​ be an arithmetic progression, for which a1​=15 and d=3. Find the sum of the first 10…

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Q: – 16, .. Write the arithmetic sequence – 4, – 8, – 12, in the standard form: An

A:

Q: Which explicit formula describes the arithmetic sequence {19,14,9,4,...}

A: The arithmetic sequence is given by 19, 14, 9, 4, ····· To determine : The explicit formula of the…

Q: 10. (a) Explain why the first n natural numbers, {1. 2, 3, -, (n-1), n}, is an arithmetic…

A: 10. In this question, we need to show that the sum of first n natural numbers is 12nn+1 and then we…

Q: 2. The difference between any term after the first and its predecessor in an arithmetic sequence is…

A: It is known that for an arithmetic sequence, difference between two consecutive term is called…

Q: 1. Which is a finite arithmetic sequence?

A:

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: I. Determine whether or not each of the following is an arithmetic sequence.

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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: 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: Determine the general term and recursive formula for the arithmetic sequence 28, 20, 12

A: In this question we have to determine the general term and recursive formula for the given…

Q: Question 4 Find the number of terms in the following arithmetic progressions -104, -91, -78, ., 234

A:

Q: If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second…

A: Given,

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: Identify the type of each sequence. 0, 1, 1, 2, 3, 5, 8, 13, 21, ... A. Geometric progression v -2,…

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Q: A particular arithmetic sequence begins 2, 9, 16, . Find the sum of the first 100 terms.

A: 2, 9, 16, ........ It is an arithmetic sequence with,

Q: In the arithmetic progression 2,5,8,... upto 50 terms, and 3,5,7,9,.. upto 60 terms, find how many…

A:

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

A:

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

A:

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…

Q: In the arithmetic progression 2, 5, 8, .. upto 50 terms, and 3, 5, 7, 9, .upto 60 terms, findhow…

A: