Give an explicit formula for the nth term of the following sequence. 1 2 3 4 5 5' 9' 13' 17' 21" Note: a1 = Provide your answer below: a = n Content attribution

Q: Find the formula for the nth term for the arithmetic sequence where a₁ = 33 and d= -16

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: In each of the following geometric sequences, find (i) the 9th term; (ii) the nth term. 1 4 16 3'9'…

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Q: A triangle has sides AB = 12 cm. BC=18 cm, and AC = 20 cm. Find the distance of the intersection of…

A: As per the guideline I will solve first question. Given that AB=12cm,BC =18cm,AC = 20 cm.

Q: lim _{x\to \infty }\frac{\sqrt{x^2+1}+\sqrt{x}}{\sqrt[4]{x^3+x}-x}

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Q: Determine the formula for the nth term of the following sequence: -6, -2, 12, 42, 94, 174,..

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Q: In geometric sequence the common ratio is denoted by RO

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Q: Find the 10th term of the geometric sequence show below -5x, 25a", -125x°, 2...

A: Given Data: Geometric Sequence: -5x, 25x5, -125x9, ... From the given geometric sequence,…

Q: 3n - 1 an = n! a1 a2 az a 4 as

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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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: The nth term of a sequence is given. Find the first five terms of the sequence a) Un = 3(-4)n-1 b)…

A: Given: The below nth terms of the sequence : (a) un=3-4n-1 (b) un=3n-1 To find: The first five terms…

Q: Predict the general term, or nth term, a, for the sequence. 12345 - - .... 6' 7' 8' 9' 10'* an

A: The 'nth' term of a sequence is a formula with 'n' in it which enables the evaluation of any term of…

Q: O O A 2. What is the approximate ratio between the Fibonacci number 610 and the number 377, which…

A: Use Fibonacci series

Q: 2n – the first six terms of the sequence defined by an = Зп + 1 az = Az =

A: Solution of the problem as follows

Q: Given a sequence: a1 = 6 a2 4an-1 +n What is the 4th term? (Directly type the value ONLY without "="…

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Q: 11. Given the sequence {an} = 2n2 - 3n + 4 a. List the first 6 elements of this sequence.

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Q: use this dot Sequence to ansuler the fallowing Question S. @what is the ll th term in the seguvence?…

A: Using dot pattern To find  a)  11th term In the  sequence  b)  the term in which sequence is 6n

Q: 2" An 2n+1

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Q: 4. Transform the following into Tn, the triangular numbers and use this to find the closed form of…

A: We have to find the nth term and closed form of sequence.

Q: Refer to the sequence below. a. Write an explicit rule for the nth term b. Use the rule to determine…

A: Given , sequence is 2,6,10,14 We have find and explicit rule for the nth term and then find a17 The…

Q: Write an explicit formula for am, the nth term of the sequence 35, 38, 41, ...

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Q: 2 4 8 16 5 25 125 625

A: Given 25,425,8125,16625

Q: Homework: nth term of a Sequence 2,4,8,16,... 3 5 2) 1,7 9 16 7 .... 25

A: Given query is to find the nth term of the sequence.

Q: Question One: Consider the sequence of odd numbers: 1, 3, 5, 7, 9, 1.1. Determine an expression for…

A: Given : The sequence of odd numbers 1, 3, 5, 7, 9, ...   To determine an expression for the nth…

Q: For the following geometric sequence, find the common ratio, r, and then write an expression for the…

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Q: 1 4 9 9 16 3'9 27'81

A: The given first four term are -13,49,-927,1681. Rewrite the first four term as follows:…

Q: Write an explicit formula for the sequence: 11 11 1 6'7' 8'9 10 5 an - 1 C BITT

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Q: A.an=−(−12)n−1 B.an=−(12)n C.an=−(−12)n D.an=(−12)n−1 11. Find the sum of the first 9999 terms of…

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