What Is A Sequence?,

What is a sequence?

 

Answer:

sequence is a pattern of numbers or shapes


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What Is The Sum Of The Infinite Geometric Series 3/4 -9/16+27/64 -81/256+ ...?, A. 3 , B. 1 , C. 3/4, D.3/7

What is the sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...? a. 3 b. 1 c. 3/4 D.3/7   Geometric Sequence Finding the sum The sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ . ..is 3/7. Solution: Geometric Series Sum Formula: S = a₁/1 - r Given: a₁ = 3/4            a₂ = -9/16            a₃ = 27/64            a₄ = -81/256 1. Find the common ratio.        a_n = a₁r ⁿ ⁻ ¹         a₂  = a₁r ⁿ ⁻ ¹    -9/16 = 3/4 r ² ⁻ ¹    -9/16 = 3/4 r 2. Divide both sides of the equation by 3/4 to find r.     -9/16/3/4 = 3/4 r/3/4   (-9/16)(4/3) = r         -36/48 = r             -3/4 = r 3. Using r = -3/4, find the sum of the infinite geometric series 3/4 -9/16 +27/64 -81/256+ ...     S = a₁/1 – r     S = 3/4/1 – (-3/4)     S = 3/4/1 + ¾     S = 3/4/4/4  + 3/4     S = 3/4/7/4     S = (3/4)(4/7)     S = 12/28     S = 3/7 4. Therefore, the sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7. Defin...
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What Is The Next Number? What Is The 12th Number? 1, 3, 9, 27, 81, _____

What is the next number? What is the 12th number? 1, 3, 9, 27, 81, _____   Answer: The next number is 243. Therefore, the sequence is 1, 3, 9, 27, 81, 243 . Step-by-step explanation: To determine the answer, you have to find the rule or pattern that is being applied in the sequence. If you could notice, the next number is always the product of 3 and the previous number. For example, 81 is the product of 3 and 27. 27 is the product of 3 and 9. 3 is the product of 3 and 1. Therefore, the next number in the sequence should be the product of 3 and 81. 81 x 3 = 243. The answer is 243, and the complete sequence is 1, 3, 9, 27, 81, 243 . That is the answer for the given question. To know more about the topic, here are other helpful links that you can use: To know more about what an arithmetic sequence means, you can check this out: brainly.ph/question/552449 and brainly.ph/question/581574 To discover more about the formula in finding out missing terms in an arithmetic sequence, you can ...
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Alfred Wegener Is A German Scientist Who Hypothesized That The Earth Was Once Made Up Of A Single Large Landmass Called Pangaea. Which Of The Followin

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