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Given the geometric sequence where a1 = 3 and the common ratio is −1, what is the domain for n
Mark is right, of course, but I’ll just add that this question looks like it’s designed to mislead you. The domain of a sequence is ALWAYS n is an element of positive integers +Z, or in other words, 1, 2, 3, 4, …, etc. UNLESS STATED OTHERWISE.
Remember, domain is input, and sequences are almost always functions of 1, 2, 3, etc. Put in 1 to get the first term; put in 2 to get the second term, and so on.
It’s easy to look at this one and start figuring out the actual terms of the sequence, but if it asks for domain, it’s almost always “positive integers.”
Intro to geometric sequences (advanced) (video) | Khan Academy – Sal introduces geometric sequences and gives a few examples. Notation used in this video is relatively advanced.Created by Sal Khan. Let's talk about geometric sequences, which is a class of sequences where we start at some number, then each successive number is the previous number…Assuming that the common ratio of that series is 7/4, find the sum of the series b2 + b4 + b6+ b8 + b10. 2.) An arithmetic sequence with first term 1 and common difference not equal to 0 has second, tenth, and thirty-fourth terms that form a geometric sequence. The fourth term in the geometric…Suppose a geometric sequence is describing a 10% growth pattern: what is the common ratio, R? Geometric Sequences can be thought of as exponential equations with their domains restricted to integers. So they can model situations that involve a constant rate of growth, but where the only…
View question – geometric Sequences – 2. In the given Geometric progression find the number of terms. Answer: d Explanation: gn = 6( 3n-1) it is a geometric expression with coefficient of constant as 3n-1.So it is GP with common ratio 3.The common ratio of a geometric series may be negative, resulting in an alternating sequence. An alternating sequence will have numbers that switch back and forth between positive and negative signs. A series converges if and only if the absolute value of the common ratio is less than oneGiven the geometric sequence where a1 = 2 and the common ratio is 8, what is the domain for n? All intergers where n > 0. What is the sum of the arithmetic The population of a type of local bass can be found using an infinite geometric series where a1 = 94 and the common ratio is one third.
Geometric Sequences and Geometric Series – MathMaine – A geometric sequence is a sequence of numbers in which each successive term is found by multiplying or dividing by the same amount each time. The difference between each term—found by dividing any neighboring pair of terms—is called $r$, the common ratio.In a Geometric Sequence each term is found by multiplying the previous term by a constant . We can use this handy formula: a is the first term r is the "common ratio" between terms n is the number of terms. On the page Binary Digits we give an example of grains of rice on a chess board.You are given the first term, common ratio and the value of the nth term. Geometric Series and Geometric Sequences – Basic Introduction.