Also, it can identify if the sequence is arithmetic or geometric. In this case, multiplying the previous term in the sequence by gives the next term . Identify the Sequence 4 , 12 , 36 , 108 This is a geometric sequence since there is a common ratio between each term . There are many different types of number sequences, three of the most common of which include arithmetic sequences, geometric sequences, and Fibonacci sequences. I’ll answer this. In this case, multiplying the previous term in the sequence by gives the next term . . Next 3 numbers can be 137 , 322 , 579 You said SEQUENCE. 3. You try this one with reference to. 500, 25000, 12500000 (multiply the term by its the solution of 1. . The nth term of a geometric sequence is given by: ar^(n-1) Where a is the first term, r is the common ratio and n is the nth term. Algebra -> Customizable Word Problem Solvers -> Misc -> SOLUTION: Use a traditional clock face to determine the next three terms in the following sequence… Identify the Sequence 2 , 8 , 32 This is a geometric sequence since there is a common ratio between each term . The next three terms of the sequence are –648, 1944, –5832 The main purpose of this calculator is to find expression for the n th term of a given sequence. -648 , 1944 , -5832 If the numbers: a , b , c are a geometric sequence, then: b/a=c/b From our example: 24/(-8)=(-72)/24=-3 The result above is known as the common ratio. There are different ways to solve this but one way is to use the fact of a given number of terms in an arithmetic progression is $$\frac{1}{3}\;n(a+l)$$ Here, “a” is the first term and “l” is the last term which you want to find and “n” is the number of terms. 1. You have awakened the Mathematician in me. Here we can see that the next term is -3 times the previous term. The calculator will generate all the work with detailed explanation. Alright. Question 694948: What are the next three terms in each sequence? Given sequence: –8, 24, –72, 216, . Some sequences use one number to go to the next, such as adding a constant to a number in the sequence to get the next one. 9,109,209,309,409 1/2, 1/2,3/8, 1/4, 5/32 Found 2 solutions by Edwin McCravy, MathLover1: therefore, the term after 216= Then term after -648 = Term after 1944= Thus, D is the right answer. If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: [math]0,1, 1, 2, 3, 5, 8, 13, 21...[/math] This is called the Fibonacci Sequence. Let's see whether that's the case here: 3 to 3 -- difference of 0 Now, find the sum of the 21 st to the 50 th term inclusive. Not AP. Such that . 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