5. Compute the first five terms the sequence with nth term formula given by a,, - 9n³ -10n². an A) -1,32, 153, 416, 875 B) -1,1,-1,1,-1 C) -1,-2,-3,-4,-5 D) 0,0,-4,-8,-16 E) -1, 32, 65, 98, 131

Q: 1. Let f be a continuous function, and define a sequence by a₁ = a, an+1 = f(an). This is called an…

A: Advance maths

Q: 2. Find the first 4 terms and the 40th term of the arithmetic sequence: = 67.3 – 4.7n - a1 = a2 = az…

A: To find the terms of the given arithmetic sequence, substitute n=1,2,3,....  in the given nth term…

Q: ind b3 for the sequence generated by the sequence br+1 = 3b,, bo = 2. A) 27 В) 54 C) 6 D) 162 For…

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Q: Suppose a, is the sequence such that a, = -3 - (-1)". Find 25 Li-5 đị. O a. 325 - 35 O b. -3 Ос. 3 O…

A: Given sequence is an=−3⋅−1n. We have to find the ∑i=525ai.…

Q: 1. Find the first four terms of the sequence whose nth term is an = 2 + 3n. * 5, 7, 9, 11 O -1, -4,…

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Q: Find an explicit formula for a sequence of the form a, a, a, 4, 8, 16, 32, 64, 128, 256 I an = with…

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Q: 5. Consider the sequence defined by the recursive formula AN = 2 AN-1-3 AN-2 and starting with A₁ =…

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Q: Select the first five terms of the sequence. (Assume that n begins

A: Introduction: A sequence is a collection of numbers (or items) that follow a specific pattern and…

Q: 13. Determine the number of terms in the following sequence 4, 12, 36,..., - 19131876

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Q: Find the first four terms of the finite sequence an= 3n A.3,6,9,12 B. 3, 7, 10, 13 C. 1, 3, 6, 9 D.…

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Q: O Write the first five terms of each sequence. a) a, 2"-1,n21, b) b, = b +b 2,b, =1,b, 2, n23.

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Q: 1. Write down the first five terms of the sequence given by: an = (-1)^n+1 / n 2. Find the common…

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Q: A. Write the missing term/s in the given series of numbers. 1. Find the next three terms in: -14,…

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Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a₁ = n + 5 O 273…

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Q: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D

A: A sequence is a function which domain being the set of natural numbers and the range being the set…

Q: 7. What is the 10th term of the sequence defined by a, = 5p³q² and an = O an-1?

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Q: 10. If a = 2a., and a, = 3, find a formula for the sequence . (A) 6 (B) 3 x 2 (C) 2 x 3 (D) (3 x 2)"…

A: Givenan=2an-1 and a0=3 We are required to find the value of an

Q: 1.) Find a decimal representation of 1/3. 2.) Find the sum of the first 50 even natural numbers.…

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Q: 1.) а, — п— 1 %3D n - 2.) аn 1 п+1 4n 3.) аn n+2 4.) аn 3" 5.) а, — 5" — 6 an

A: Recurrence relations are given. One can easily form a sequence from these relations. The problem is…

Q: Find the first 4 terms and the 12th term of the geometric sequence: n а, 3D 1024|

A: We are given the following geometric series.               an=102412n Now,…

Q: 1. Give the first five terms of the sequence with the given general term. a. a, = 3n+4 %3D b. а,…

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Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

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Q: 12. Find the first 5 terms of the sequence: 2n a, =(-1)" n +1 a) b) a, = 4a-5 and aj =1 | n-1

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Q: 3. Find a formula for the sequence given by In+1 = Xn+ 8xn-1 – 12xn-2 n > 2, with ro = -4, 1 = -3…

A: Let 2nd order homogeneous difference equation is given by,…

Q: 14. Write a recursive formula for the sequence a) 3, -5, -13, -21,... b) 6.-2, 3, .

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Q: 6. Find the first 4 terms and the 12th term of the geometric sequence: a, =100,000 and r = -0.2 ɑ1 =…

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Q: A. Determine the next three terms for each sequence. 1. 8,1, -6, -13,-20 2. 4, 11, 18,25,.... -5,-8,…

A: In all question has some basic logic like same difference or addition etc

Q: B. Analyze the given sequence for its rule and identify the next three terms. 1. А,Е, К, 2.…

A: Step:1 Since you have asked multiple question with multiple parts we will solve the first question…

Q: 2. Find the first five terms of these recursively defined sequence. a1 = 2; an+1=3an-5

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Q: 2n-1 2. Find the second term of the sequence an = 2n+7,

A: To find the second term

Q: 2) A sequence is defined using a recursive definition as: a = 5, a, = 11, and a, = a,-1+ 2a,,-2…

A: given: A sequence is defined using a recursive definition as : we have to determine the value of .

Q: List the first four terms of each sequence. An = 2n + 6: 8 10 12 14 ,.... bn = (4)" : 4 16 64 256…

A: We can find first four term of the given sequences . Put n=1,2 ,3 ,4 and find four terms of the…