Find an explicit formula for a sequence of the form a₁, 32, 33, 5, 10, 20, 40, 80, 160, 320 a = n 5r– 2n-1 Need Help? Submit Answer [5/5 Points] (k+ 2) X 18 Read It Compute the summation. ETAILS PREVIOUS ANSWERS *** with the initial terms given below. EPPDISCMATH5 5.1.019.

Q: List the first five terms of the sequence. an a1 = 6, an+1 1 + an a1 az = a3 = a4 = as I| || |||I

A: To find the first five terms

Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence.…

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Q: Write the first five terms of each sequence, start at f(1), given f (2) = -14, f (n) = 4f (n – 1) +…

A: To write the first five terms of each sequence starts at f(1).

Q: Use the difference an+1 an to show that the sequence | {n – 7"} is strictly increasing or strictly…

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Q: 1. The general formula for a sequence is t = 3t₁ - ₁ - n, where t₁ = 3 Find the fourth term.

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Q: Write the sequence in recursive form. Make sure to state the initial conditions a, - 4(3)" for n > 1

A: Given- an=4(3)n-1 for n≥1 We have to write the given  sequence in recursive form and to state the…

Q: S= (7. -1, -9, -17, - 25, .

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Q: an=lo-4 (-1)n Findthe first 10 terms of the sequence

A: Given, an=10-4-1n Now plug n=1 we  get, n=1 ⇒a1=10-4-11⇒a1=10--4=14n=2 ⇒a2=10-4-12⇒a2=10-4=6n=3…

Q: Find the value of x so that 65 - x, 2x - 17, x +1 form an arithmetic sequence. 100 40 O 25 O 33

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Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: (ii) Verify whether the sequence a, =4" +5 is a solution of the recurrenc %3D relation a…

A: Given that, the sequence is an=4n+5 and the recurrence relation is an=5an-2-4an-2. Obtain an-1.…

Q: Express the sum in terms of n.

A: Consider the provided sum, ∑k=1n 2k-32 Express the sum in terms of n. Apply the sum formula…

Q: L4Q16. The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

A: The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

Q: 3 3 3 3. Which of the following formulas properly describes the sequence 3, 2 4 (1) a, = 3+2" (3) an…

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Q: Use the difference an+1 – an to show that the sequence - {n – 9"}n=1 is strictly increasing or…

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Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

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: Given a sequence: a1 = 6 a2 4an-1 +n What is the 4th term? (Directly type the value ONLY without "="…

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Q: 2. Find a formula for the sequence given by In+1 = 4xn – 5xn-1+ 2xn-2 n > 2, 5xn-1+ 2xn-2 n> 2, with…

A: We have  xn+1=4xn-5xn-1+2xn-2   n≥2    ...(i)x0=2,x1=7  and x2=15characteristic equation of (i) is…

Q: 5,2,5,2,.. O 4.=4(a)-2 a, = 6(a) a, =7-a

A: Here we find the correct recursion for for given sequence,

Q: For the sequence an = its first term is its second term is its third term is its fourth term is its…

A: The given sequence

Q: 4. Determine the exact sum of +1 2n=1 n5n.

A: The given series is:

Q: an-1. 9. A sequence is defined by the rule a, = a = 20. Find the value of a, . +n with i=1

A: We have to find the sum of sequence

Q: Find the rule for the geometric sequence given below. :3an-1 2-1 and ao an an - = 3.

A: The objective of the question is to find the rule for the given geometric sequence and to find the…