1 9. What is the 4th partial sum of the series 2=1,41 3D1 4 A. 11 13 В. 17 19 C. 24 --- 10. Find S4 of the sequence 105 +110 + 115 + .... A. 450 B. 805 C. 1100

Q: Let Fib(n) be the nth term of the Fibonacci sequence with Fib(2) = 1 , Fib(3) = 1 , Fib (4) = 2 and…

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Q: 8. 16 1. Determine the sum of the infinite series: S %3D | 3 27 81 +

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Q: 6. What is Nh rule of the sequence 7, 14, 21, 28 A. 7n B. n+ 7 C. 6n + 1 D. Sn+2

A: 6. To find the n-th rule of the given sequence 7, 14, 21, 28Correct option is A. 7nReason :for n=1…

Q: 3-27 Find the sum of the series 5n+1 n=D0 (A) 2 (B)- * (C) (D) 1 (E) O (A) O (B) O (C) O (D) O (E)

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Q: Write the first five terms of the recursively defined sequence. 12 ak 2² a₁ = 4₁ ak + 1 Step 1 Note…

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Q: 15) of the fist 20 terms of the series 5+8+11+14+...

A: The explanation of answer as follows :-

Q: 1 3. Does this series have a sum? +++ Why and Why not? ... 128 64 32 4. Find the sum of the…

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Q: 13 57 6'10'14 18" 2n-1 1) The arithmetice sequence ,then a, 2(2n+1) true false

A: We have given the arithmetic sequence.  We have to find the nth term of the arithmetic sequence

Q: 1. What is the sum of a geometric series S, = a + ar + ar? + ar3 + ...+ ar"-2 + ar"-12

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Q: 1 1 ii. 2r +1 2r +3 7=1

A: We will use telescopic series to find the sum.

Q: Find the sum of the series 1+ 4*2! + + 16-4! + 64*6! ....

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Q: Wake Use this formula to verit mil of quotient of convecutive numbers is the golden ration: lim n-78…

A: Assuming the sequence is convergent.

Q: Determine which set of vectors is orthogonal. O v = (-3,1), w = (1,3) v = (0, -2), w = (0,³) O O v =…

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Q: 4. Write down the first six terms of the Fibonacci =1 and F2 = 1. sequence defined by Fn Fn-1 +…

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Q: 5. of an geometric series is lie sum terms is 112. Determine the first term of this series. 3 - 20 3…

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

Q: 1. Write out the next 4 terms of the sequence a = a,' +n-1; a, =1 (this means %3D а, а,, а,, а,).

A: Given a0=1 and an+1=an3+n-1a1 means n=0So, a1=a0+1=13+0-1          =0a2=a1+1=03+1+-1              =0

Q: Find the sum of natural numbers from1 to 100. 2. Find S12 , the tenth partial sum of the

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find a, of an arithmetic sequence when a, =-46 and 12. a10 =-91. a) - 5 b) – 10 d) 16 5 6

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

Q: Find the sum of the first five terms of the sequence. 1 a₁ = 5; an = n 1 1 n+1' n22

A: To find the sum of the first five terms of the sequence. a1=5, an=1n-1-1n+1, n≥2

Q: 3. Here are the nth terms of 4 sequences. Sequence 1- 3n + 1 Sequence 2- 5n + 10 Sequence 3- 10n…

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Q: 5. In the geometric series 18, -12, 8 which term is 512/729.

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Q: For the following problem identify the common difference (m), the zero term (b), and the term…

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