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Algebra. Identify the Sequence 2 , 6 , 18 , 54. 2 2 , 6 6 , 18 18 , 54 54. This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 3 3 gives the next term. In other words, an = a1rn−1 a n = a 1 r n - 1. Geometric Sequence: r = 3 r = 3.
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3 Φεβ 2015 · A geometric sequence has a common ratio, that is: the divider between any two nextdoor numbers: You will see that 6/2 = 18/6 = 54/18 = 3. Or in other words, we multiply by 3 to get to the next. 2 ⋅ 3 = 6 → 6 ⋅ 3 = 18 → 18 ⋅ 3 = 54. So we can predict that the next number will be 54⋅ 3 = 162.
Find the Sum of the Series 2+6+18+54. 2 + 6 + 18 + 54 2 + 6 + 18 + 54. This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 3 3 gives the next term. In other words, an = a1rn−1 a n = a 1 r n - 1. Geometric Sequence: r = 3 r = 3.
Solution. Verified by Toppr. This is a simple multiplication series. Each number is 3 times more than the previous number. The series is 2, 6, 18, 54, . . . Rule = (1st number x 3 = 2nd number) (2nd number x 3 = 3rd number).... Now (2) (2 × 3 = 6), (6 × 3 = 18), (18 × 3 = 54) (54 × 3 = 162)... So the answer is c = 162.
The next term in the series 2, 6, 18, 54, ? is 162. The series is a geometric sequence, which means that each term is equal to the previous term multiplied by a constant value. In this case, the constant value is 3.
The given sequence is -2, 6, -18, 54. In order to get the common ratio, we need to divide the preceding term with the previous term. Let the common ratio be ‘r’. r = preceding term/previous term. r = 6/-2. r = -3. Therefore, the common ratio is -3.
11 Μαΐ 2017 · 6 * 3 = 18. 18 * 3 = 54. As you can see, 2 is the first term in the sequence. Multiplying the current term by the common ratio, which is 3, presents the next term. Then that term is multiplied by the common ratio to present the term after it. a n + 1 = 3a n. or you can write.
