So, the sequence is infinite Now, a sequence is arithmetic if the difference between consecutive terms are equal This difference is common difference 9 6 = 3 12 9 = 3 15 12 = 3 We can see that the difference is equal Hence, it is AP Therefore, we can conclude that 6,9,12,15 is an example of an infinite arithmetic seriesAn arithmetic progression which is also called an arithmetic sequence represents a sequence of numbers (sequence is defined as an ordered list of objects, in our case numbers members) with the particularity that the difference between any two consecutive numbers is constant For example, the sequence 3, 6, 9, 12, 15, 18, 21, 24 is an arithmetic progression having a🔴 Answer 1 🔴 on a question 6,9,12, is an example of an infinite arithmetic series true or false?
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6 9 12 15 . . . is an example of an infinite arithmetic series
6 9 12 15 . . . is an example of an infinite arithmetic series-Answer The answer is False Stepbystep explanation In an arithmetic series with first term and common difference , the nth term is given by The given sequence is 3, 9, 27, 81, 243, Here, we cannot find the value of , since 93≠ So, the given sequence is not an arithmetic sequence Furthermore, it is an infinite geometric sequenceCorrect answer 6,9,12, is an example of an infinite arithmetic series true or false?
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Arithmetic Progression (AP) is a sequence of numbers in order in which the difference of any two consecutive numbers is a constant value For example, the series of natural numbers 1, 2, 3, 4, 5, 6, is an AP, which has a common difference between two successive terms (say 1 and 2) equal to 1 (2 1) Even in the case of odd numbers and even numbers, we can see the common differenceFor example, 6 9 12 15 18 is a series for it is the expression for the sum of the terms of the sequence 6, 9, 12, 15, 18 By the same token, 1 2 3 100 is a series for it is an expression for the sum of the terms of the sequence 1, 2, 3, 100 To find the sum of arithmetic series, we can start with an activity2, 3, 6, 8, is an example of an infinite alternating series True False
2, 2, 2, 2, is an example of an infinite alternating sequence True False2, 3, 6, 8, is an example of an infinite alternating series a True b False state whether the following statements are true or false (a) Bread is an example of solid foamWhere the infinite arithmetic series differs is that the series never ends 1 2 3 The three dots (an ellipsis) means that the series goes on and on to infinity A couple of examples of an infinite sequence 2, 4, 6, 8, or 1, 5, 10, 15, (notice the commas) An infinite series has either addition or subtraction symbols with a common difference 2 4 6 8, or 1 – 5 – 10 – 15,
The answers to brainsanswerscoukAn arithmetic progression is a sequence of numbers related by a "linear" rule If the first number is a, and the difference between terms is d, then a finite arithmetic progression with n terms is given by a, a d, a 2 d, , a ( n − 1) d An infinite arithmetic progression is
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