WebSolution: To find: Common ratio Given: Formula of geometric sequence = 4 (3) n-1 A listing of the terms will show what is happening in the sequence (start with n = 1). 4, 12, 36,108,... Using the common ratio formula, r = 12/4 = 3 Answer: Common ratio, r … WebFind an answer to your question Consider the sequence 3, 6, 12, 24, . . . . The common ratio of the geometric sequence is . The next two terms are: , .
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WebQuestion: If the given sequence is a geometric sequence, find the common ratio. 3, 6, 12, 24, 48 A) B) 6 C) 2 D) not a geometric sequence QUESTION 2 Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d. WebNov 5, 2024 · 3, -6, 12, -24, ... We have to find the common ratio first. Common ratio is the ratio between two consecutive terms of a geometric sequence. It is denoted by r. So, …
WebSep 25, 2016 · Explanation: In a Geometric series, common ratio is the ratio of a term with respect to its preceding term. Here we have the series { − 3,6, −12,24,.................} and hence common ratio is 6 −3 = − 12 6 = 24 −12 = −2. Answer link. WebFind the ratio of each pair of two consecutive terms. a2-1. a1. a3= -1. a2. a4= -1. a3. 2 Write relations. Write the relation of the difference or ratio of two consecutive terms. a2 . a₁ = аз . a2 = a4 . аз. 3 Identify Sequences. Identify the type of the sequence consecutive terms. from the relation of two. It is a geometric sequence.
WebFor a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term. This ratio is usually indicated by the variable r. Example: The geometric … WebWhat is the common ratio of the geometric sequence below? -96, 48, -24, 12, -6, ... B Which formula can be used to find the nth term of the geometric sequence below? 1/6, 1,6 D A …
WebAnswer: - 3072. Step-by-step explanation: The n th term of a geometric sequence is = a₁. where a₁ is the first term and r the common ratio. Here a₁ = - 3 and r = - 6 ÷ - 3 = 2, thus
WebA. For the following sequences, determine if they are arithmetic, geometric, or neither Identify the common difference or common ratio if they are arithmetic or geometric, and then write explicit and recursive formulas for the sequence. 1. 80, 40 20, 10, 2. - 1,1,1,1 3. 4, - 2,0, - 2 4. 3,9,19,26 5. 1,11,21,31 6. 0,2,6,18 B Given the first term in the sequence and the … eleven in the gulchWeb6,12,24 and 48 are terms of geometric sequence with the first term as 6 and the common ratio as 2 The pattern is: successive term is twice the previous term 1st term=6 2nd term=12=2*6=2* (1st term) 3rd term =24=2*12=2* (2 nd term) 4th term=48=2*24=2* (3rd term) Following this pattern 5th term=2* (4th term)=2*48=96 Answer:96 987 views John … foot locomotor movements examplesWeb★★ Tamang sagot sa tanong: Activity 2 : Arithmetic or Geometric? Directions; Write A if the given set is an example of arithmeticthen find the common difference. Write G if it illustrates an egeometric sequence, then find the common ratio.1. 7, 10, 13, 16, 1 - studystoph.com footloerphotoWebIn plane geometry, constructing the diagonal of a square results in a triangle whose three angles are in the ratio 1 : 1 : 2, adding up to 180° or π radians. Hence, the angles respectively measure 45° (π / 4), 45° (π / 4), and 90° (π / 2).The sides in this triangle are in the ratio 1 : 1 : √ 2, which follows immediately from the Pythagorean theorem. eleven in season fourWebIf the given sequence is a geometric sequence, find the common ratio. 3, 6, 12, 24, 48 A) B) 6 C) 2 D) not a geometric sequence QUESTION 2 Use the formula for the general term (the … eleven in stranger things season oneWebIn this sequence: a is the first term and r the common ratio. In contrast, a geometric sequence of 3, 6, 12, 24, 48... produces the common ratio of 2. Taking a pair of numbers from the sequence and dividing them produces the common ratio, providing the numbers chosen border each other. 6 / 3 = 2. 12 / 6 = 2. 24 / 12 = 2. Etc. Geometric Sequence ... foot lock trayWeb3 3 , 6 6 , 12 12 , 24 24 , 48 48. 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 2 2 … eleven is st or th