Find these terms of the sequence {a}, where a 2.(-3)" + 5". a. a b. a₁ c. a What is a of the sequence {a} if a equals 12 n-1 a. 2¹ b. 7 c. 1 + (-1)" d. - (-2)" Given the following sequences, (a) what are the next three terms? (b) Write the formula for the sequence. a. 1,0, 2, 0, 4, 0, 8, 0, 16, 0, ... b. 15, 8, 1,-6,-13,-20,-27, ... c. 2, 16, 54, 128, 250, 432, 686,... 71 Find the terms a and a in an arithmetic sequence with a = 15 and a, = 37. Show your solution. If the third term of a geometric sequence is -12 and the fourth term is 24, find the first and fifth terms of the sequence. Show your solution. Write the formula for a for the following sequences: a. All odd numbers with the first term being 5. b. Begins with 3 and each succeeding term is twice the preceding term. c. The first term is 2, the second term is 4, and each succeeding term is the sum of the two preceding terms. d. Begins with 10 and each succeeding term is 3 less than the previous term. Write the first 6 terms of the following sequences: a. The sequence that lists each negative integer twice in decreasing order. b. The sequence where the nth term is the sum of the first n positive integers.

Q: What is a for the sequence a₁ = n² - n? A. a₁ = 8 B. a = 12 C. a = 4 D. a₁ = 16 OA OB OC OD

A: Here is the solution:

Q: The first term ao of a geometric sequence is -10, and the common ratio r is -3. What is the…

A: The formula for the nth term of a geometric sequence is given by an=a0rn-1, where a0 is the first…

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Q: Evaluate S10. the sum of the first ten terms of the arithmetic sequence. a, = 3n, a40 = 11a %3D

A: To Evaluate S10 Given:  a1 =3π ,   a10 =11π Let a be first term and d be common difference of…

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: 5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46.  Which of the following is the value…

A: Given problems  5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46. Which of the following…

Q: c. Write an equation for the nth term of the sequence. d. Find 12- Use the sequence 16,384, 4096,…

A: solution:-16384, 4096, 1024, 256, ...214,      212,     210,    28,  ...this is Geometric…

Q: Find the terms of the sequence an (-1)"2 = n2 a1 a2 || a3 || a 20 a 100 ☐

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Q: The sequence is defined recursively. Write the first four terms. a₁ = 5; anan-1-5 A. a₁ =5, a₂ =2,…

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Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

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Q: Find the missing variable in the geometric sequence and write the first few terms of the sequence

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Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

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Q: 2" an 2n + 1 (-1)"-1 An 5"

A: The given sequence,1. an=2n2n+12. an=-1n-15n