Three numbers are in an arithmetic progression with a common difference of 6. If 4 is subtracted from the first number, 1 is subtracted from the second number, and the third number is first decreased by 3 and then multiplied by 3, then the resulting three numbers form a geometric progression. Find the original three numbers. or

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A: Given, -44, -32, -20, -8, 4, 16, 28, 40.

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

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A:

Q: An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum…

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

Q: In a geometric progression, the fifth term is 16 and the seventh term is 4. Find the; i. Common…

A: We need to find out the common ratio, first term and also the sum to infinity.

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: 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: arithmetic progression

A: Please refer to the image below

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.