1 4 Find the explicit formula for sequences of the form a1, a2, a3.. with the initial terms =,- 9 16 , ...? 3'9'27'81

Q: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

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Q: 13. Find the nth term in the arithmetic sequence and simplify the result: a, =a+(n-1)d. a.…

A: 13.a) a=7 and d=4b) a=6 and d=20c) a=11 and d=9 Note:       Multiple questions with multiple sub…

Q: Which of the following equations describes the nth term for the sequence O (3) -1(9)*** 4 1 1 1…

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Q: 3. Find the formula for the following sequences i. An explicit formula for 2, 6, 18, 54, 162,....…

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Q: Qw.146. explan the formula, the imags (a,b)and find the next sequence with its image

A: Ans- These are some of the identities related to the Fibonacci sequence, which is a sequence of…

Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

Q: quired next three terms are 4. 3, 4, 7, 8, 11, ... 5. 1,8, 27, 64, 125, 216, 343, 512, 729.....

A: In these question, we can find the sequence pattern and find next three terms of the sequence.

Q: 1) Find a formula for the sequences: 37 a. {-4,,,,,...} (hint: some terms might be reduced more than…

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Q: What is the missing term in the sequence? 5, 11, 23, 47, Select one: a. 125 O b. 95 O c. 105 d. 115

A: Solution: Given sequence, 5, 11, 23, 47,......

Q: 3. Find the Sum of the first 25 terms of: 32, 28, 24, 20,...

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Q: Write down the first five terms of the sequence an a₁ = 92 = a3 = 04 = a5 = (n+2)! 2n

A: The given sequence is; an=(n+2)!/2nFind next five terms.

Q: Example 1.7.30. Find the erplicit formula for the sequence 2, 5, 8.11,..

A: To find the explicit formula for the sequence 2,5,8,11,...

Q: a) Find the formula for the arithmetic sequence with n > 1. - 15, – 10, – 5, 0, 5, .. an b) Find the…

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Q: ? For the sequence 2, 8, 32, ...; Write the formula for the general term and use it to find ts

A: To find the general term and 8th term  of the given sequence :-

Q: 1 1 3 9 27 th Find a formula for the n" term of the sequence 3 2 4 8' 16

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Q: 1. Find these terms of the sequence (a), where a = 2-(-3)" +5". a) do d) as b) a₁ c) a₂

A: Given that the sequence an is such that an=2.-3n+5n

Q: Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = C. 6" + D(-5)^ for each…

A: Substitute 0 and 1 in the given expression to obtain the values of C and D,

Q: 1.) а, — п— 1 %3D n - 2.) аn 1 п+1 4n 3.) аn n+2 4.) аn 3" 5.) а, — 5" — 6 an

A: Recurrence relations are given. One can easily form a sequence from these relations. The problem is…

Q: (a.) is a sequence and a 3, w1 for Saa. What is the general term of this sequence? Ob. 4-3 Od.

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Q: Find n if an = 52 belongs to the sequence 1, 2.5, 4, 5.5, 7... 39 а. b. 23 с. 17 d. 35

A: First we know about type of sequence

Q: Determine whether the given series is convergent or divergent. When it converges, find its sum. (a)…

A: The given series are: (a) ∑n=2∞ 3-4i6+8in (b) ∑n=1∞ -2z-34n The given problem is to determine…

Q: niki has a sequence of numbers given by the formula t (n) = 4(5)". a. What are the first three terms…

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Q: 1. For each of the following sequences, write down the first 4 terms of the sequence (an). (a) (급),…

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Q: 7.. Given the values of a and d, write the first three terms of the arithmetic sequence. Then, write…

A: We want to find general term.

Q: Find the formula for the nth term of the arithmetic sequ 3, 6, 9, ... an ||

A: Given arithmetic sequence is The first term of the sequence is a=3  and common difference is…

Q: 3. In a geometric sequence, if az = -5 and ag = 40, determine a1, r, and an. Then write the first…

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Q: Match each of the following sequence statements with the correct sequence. a, =3a a +3 for n2 1 and…

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Q: Give an explicit formula for an, the apparent   nth term in the sequence 7, 17, 7, 17, 7, 17...

A: .

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.