arithmetic sequence d in a, = a1 + (n – 1)d each number in a sequence sequence term of a sequence

Q: Show your solution on a piece of paper. Consider the sequence: 67, 72, 78, 85, 93, 102, 112 The…

A: The given sequence is 67, 72, 78, 85, 93, 102, 112. We have to find its general term and the 93rd…

Q: A sequence ao, a1, a2, ... satisfies an = n· an-1+(-1)" for n > 1. If a5 = 44, then az %3D %3D…

A: We have a sequence, an = n · an-1 + (-1)n  ,  n ≥ 1 We have ,  a5 = 44 we need to find ,  a3 Now,…

Q: (a) There are 11 terms in the arithmetic sequence. The first term in this sequence is m- 30 and the…

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Q: b. Suppose that {a, }is a sequence of real numbers defined recursively by Untl Vn z1 Write out the…

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Q: Fill in the blank/s: The nth term of a sequence, represented by an, is called __________

A: We know that nth term of an arithmetic sequence is represented by an. nth term of an arithmetic…

Q: 1 6 + 7n Your answer is (input yes or no) if your answer is yes, its first term is its common…

A: We have to check whether the sequence  is arithmetic."A sequence is said to be arithmetic, the…

Q: Let ("), n-3n+36 and (") be the first three terms of arithmetic sequence. Find the sum or first 25…

A: nC2, (n²-3n+36)/2 and (n+1)C2 be the first three terms of AP   we know that    definition of nCr =…

Q: se polynomial fitting to find the formula for the nth term of the sequence (an)n>0 which starts,…

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)nzo which starts, 7,…

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Q: Write a definition for the nth term of Sequence B

A: A sequence is a function from set of natural number including zero to real numbers.  Example: let…

Q: Write a recursive formula for the arithmetic sequence bn given below. −14,−18,−22,−26,−30,…

A: We can solve this as follows:

Q: a2 =1 a4=5 Find the sum of the first 8 terms of this arithmetic sequence

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Q: 06 While sorting some change into piggy banks, Pedro put 202 coins in the first piggy bank, 185 *…

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

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Q: Find a closed formula in terms of n for the sequence an described by ao = 4, and a, = 5a, –1+ 3 for…

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Q: write an explicit formula for the geometric sequence (6,12,24,48,96,192,284,568,1138)   write a…

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Q: The first four terms in a sequence of numbers are given below. T = T2 42 +3 = 19 T 62 +1 = 37 T4 82…

A: We have given 4 terms in sequence : We to given expression for difference two consecutive terms.

Q: Write the first five terms of the sequence. an (5n – 4) 3.

A: Given : an = 13n5n-4

Q: – 16, .. Write the arithmetic sequence – 4, – 8, – 12, in the standard form: An

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Q: Find the first 5 terms of the sequence

A: In this question we have to find the first five terms of the given sequence which we can find out by…

Q: Consider the sequence Describe the behavior of the sequence is the sequence monotone? Select is the…

A: A sequence will be monotonic if it is continuously increasing or continuously decreasing . Sequence…

Q: Determine the 3rd and 8th term for the sequence below. An= -1+(n-1) (-2)

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Q: Use the pigeonhole principle to show that there is a multiple of 691 whose digits are Os and 1s.…

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Q: The generating function of the sequence 5,5,5,5,5 is 1-x° (1-x) 1-5x° (1-x) 1- 125x (1-x) 1-3125x…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.