Find the explicit formula for the nth term of the following sequence where the first term is a1. an = 56 (---...} 21

Q: Find the sum of the first 6 terms of the sequence defined by an = -4 (2)^-¹ for n ≥ 1. -

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Q: 1. Write the first five terms of the sequence defined by i) a, = (-1)"+1 Li. ii) b, = . 2. Find a…

A: Given: Question 1(i)  an=(−1)n+11+nn!(ii)  bn=2nn!find five termsQuestion 2(i)…

Q: Write down the sequence whose nth term is (i) 2"/n and (ii) [3+ (-1)"]/3".

A: The main object is to write sequence for given nth term.

Q: Find the explicit formula of the following sequence. 8 (72, 24, 8, 3, ...} O a O b Oc - Od ƒ(n) = a₁…

A: Given sequence is 72, 24, 8, 83, ...

Q: Find the 11th term of the harmonic sequence1/5,1/8/1/11,1/14,. . .

A: harmonic progression is 1arithmetic progression the given series has a pattern of = 13+previous term…

Q: Find an explicit formula for the following sequence. 3 15 19 where n 1 - 1' 22 4 5

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Q: a,=(- 1)" is a divergent sequence

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Q: Find the sum of the first 5 term of geometric sequence where first term is 3/5 and where common…

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Q: Find the sum of the first eight terms of the sequence 1/8,−1/4 ,1/2 ,.... please show working

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Q: Let 867, 861, 855, 849, 843........be a sequence. Find an expression for its nth term i.e an and…

A: The given sequence is 867, 861, 855, 849, 843… Let assume that n > 0 for the sequence.

Q: Let a, denote the nh term of a geometric sequence. Let an = 256 and a+1 = =0.5am Part A Write an…

A: In the geometric sequence, the ratio of the consecutive terms is the same (equal) which know as a…

Q: What are the initial term and a recursive formula for this sequence: 4, 7, 10, 13, ......

A: The given sequence is 4,7,10,13,... the common difference is 7-4=3,10-7=3,... therefore, the common…

Q: What is the 109th term of the arithmetic sequence (963, 936, 909, 882, ..)?

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Q: 3. Express the following sequence in the form {a,} Term of Sequence 3,5,7.. Formula Notation a, =…

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Q: List the first five terms of the sequence {4.8. 12. ... (4n)} ♥

A: In this question, we will find the first five terms of the sequence.

Q: Give the first six terms of the following sequences. You can assume that the start with an index of…

A: Increasing sequence : If an is any sequence and an≤an+1 for all n .Then an is called to be…

Q: २ Let (an) a sequence that satisfies a³ + 6 for n = 1, 2, ... Manti If a₁ = 2/1/2, show that and…

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Q: 1 7. /2n 8. n-2" n+3 9. n(n+1)(n+2) 10. V3n-1

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