The Fibonaccis Sequence is defined so that F = F –1+ Fr-2. Given that F12 144 and F13 233, find F14, F15, and F16-

Q: Find the explicit formula for this polynomial sequence: 3, 24, 79, 180, 339, 568, 879, ..

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

Q: The first 2 terms of the Fb sequence are: 1, and 1. Find the 14th and 16th terms of the Fb sequence.

A: The first 2 terms of the Fb sequence are: 1, and 1. So we can write the rule: The Rule is xn = xn−1…

Q: For the sequence 1, 4, 7, 10, .. . its nth term is

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Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 59th term of the arithmetic sequence 20, 16, 12, 8 . .…

A: Our aim is to find the 59th term of the arithmetic sequence given below:-20,16,12,8.....        -(i)

Q: Find the 8th term of the arithmetic sequence -5x + 8,-x+3, 3x - 2,..

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Q: this sequence 31 27 23 19 Explain in detail how you could find the 10th term

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Q: 3. Consider the sequence of numbers defined by the recurrence relation An = 4(an-1 – an-2), with…

A: Here, the nth term of the sequence is given by: an=4(an-1-an-2)...(1)

Q: ... at verifies the identity. OC. B. sin 9x cos 7x - cos 9x sin 7x = sin (9x – 7x) = sin 2x sin 9x…

A: Given query is to find the correct option to prove the identity.

Q: Consider the sequence x + 3,x + 7,4x − 2,............. If the sequence is geometric, find x and…

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Q: Find the 13th term of the arithmetic sequence 3x-11, -6, -3x-1, -6x + 4.

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Q: Write the arithmetic sequence – 10, – 7, – 4, – 1, ... in - - - the standard form: An

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Q: What is the 100th term of a sequence of number in which, for every positive integer x, the sum of…

A: In the given question, concept of summation series is used. Summation Series The total of the series…

Q: For the sequence {an} defined recursively by a₁ = 1, a2 = 1, An+2 an+2 +an+1 for n > 2 Write a 44

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Q: Can you use polynomial fitting to find the formula for the nth term of the sequence 4, 7, 11, 18,…

A: No. The sequence of differences is the same as the original sequence so no differences will be…

Q: Which word best describes this formula for the sequence a,? a, = 41n - 2n2 - 96n + 44 explicit…

A: Given a formula of an .