The 1st, 2nd and 3rd terms of an arithmetic progression are 8 - x, 3x and 4x + 1 respectively. Calculate the value of x, and find the sum of the first eight terms of the progression.

Q: The sum of n terms of two arithmetic progressions are in the ratio 5n +4 : 9n + 6. Find the ratio of…

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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: Faith borrowed the sum of 24000 from promise with and arrangement to pay back in 24 annual…

A: The arithmetic progression is the series which has a common difference. The common difference is the…

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: 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: Write the arithmetic sequence −10, −19, —28, –37, ... in the standard form: an =

A: INTRODUCTION An arithmetic sequence is a sequence of numbers where each number is the sum of the two…

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: Find the sum of a geometric progression whose first three terms are 12,-6, and 3. Show solution

A: The sum of the first n terms of a geometric series is given by…

Q: There are 33 coins to be distributed among Rajan, Reddy and Rockstar, Rajan is youngest so his share…

A: Arithmetic progression: A sequence of numbers in which the difference between any two consecutive…

Q: Find the seventh term of the arithmetic progression x, x+y, x+2y,....

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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: Find all triples of squares of natural numbers in arithmetic progression such that b2-a2=c2-b2.

A: Find all triples of squares of natural numbers in arithmetic progression such that b2-a2=c2-b2

Q: The first three terms of an arithmetic progression are 2x, 5 and 6 – x.(i) What is the common…

A: The objective of the question is to find the common difference, the 9th term, and the sum of the…

Q: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

A: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

Q: a1=5 and a6=-40 then find a8 term of the geometric sequence.

A: Given that,                                                            a1=5, a6=-40 we have to find…