The first six terms of the Fibonacci sequence are 1,1,2,3,5, and 8. 1. Write the first 12 terms of the sequence. 2. The Fibonacci sequence defined above can start with arbitrary first and second terms. If the first term is 2 and the second is 4, then the sequence is 2, 4, 6, 10, 16, 26, 42, ..... Write the first twelve terms of the sequence.

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A: Since you have posted multiple questions and I can do first question as per our company guidelines.…

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A: Explanation and solutions is given below.....

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Q: 1. Consider the arithmetic sequence U1,24, 31, 38, ... a. Write down the first term, uj and the…

A: We have used formula for common difference. sum of Nth term of A.P.

Q: Fibonacci sequence. Find the following: 1, 1, 2, 3, 5, 8, 13,..

A: If F is Fibonacci sequence then  Fn = Fn-1 + Fn-2

Q: If {8,11, 14, 17,.....} is the given arithmetic sequence, then the common difference d = O 3 -8 -3 O…

A: The given sequence is                                 {8,11,14,17,.....}     The first term of the…

Q: 1. Find a formula for the nth term of the given sequence: 1,-1,1,-1,1,-1,... 2. What is the 1000th…

A: According to the guidelines,we are suppose to answer only one question.  Kindly repost the rest of…

Q: 10. Determine the 10th term of the Sequence 5/96 , 5/48 , 5/24 , 5/12, ... Enter your answer

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Q: below. S 72 n-3 n+4 Show your work in the space provided. 2. Find the sum of the first 6 terms of…

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Q: Determine whether the following set of numbers is part of an arithmetic or geometric sequence. In…

A: We have to check

Q: What is the common difference or common ratio? O The common difference is 4. 4. O The common…

A: Sequence is missing so that I take a sequence  example for your understanding about common…

Q: 19. Consider the following sequence: 2, 4, 8, 16, _____ a. Determine the missing terms of the…

A: As per the guideline I am supposed to solve only first three subparts of the given problem. Consider…

Q: 32. Arithmetic Sequences If a, a2, az, ... and b,, b, b, ... are arithmetic sequences, show that a,…

A: Arithmetic sequence is defined as a mathematical sequence in which difference between any two…

Q: 1. Determine if the following sequences are arithmetic, geometric or neither a. - 1,9, 19, 29, ...…

A: We have to determine whether the following sequences are arithmetic, geometric or neither.(a) -1, 9,…

Q: a. Find numbers a, b E R such that 2, a, b, 20 is part of an arithmetic sequence. b. Find numbers a,…

A: (a) Given a, b ∈ℝ2, a, b, 20 is part of an arithmetic sequenceSuppose common difference = dthen…

Q: Instruction. Evaluate the following sequences. A. SEQUENCE 1. A sequence is given by the formula a,…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.