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Complete the series choosing the missing number: 2, 6, 18, 54, ____
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This is the form of a geometric sequence. Substitute in the values of a1 = 2 a 1 = 2 and r = 3 r = 3. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
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.
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