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

Q: 11. Is there a formula for this sort of question?

A: There are two options for any questions = True / False If the students guesses randomly then the…

Q: Find the arithmetic mean a, of the given terms. 15. a, -1 -2,4n +1-7 10, a, +1 20 14. a, -1= 7, an…

A: Use the formula for arithmetic mean and substitute the given values.

Q: Write an explicit formula for an, the nh term of the sequence 5, –1, –7,.... -

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Q: In each case, find the first 5 terms of the sum and compute S. 31-1 r: The first 5 terms are: The…

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Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ... a = 32· 4"-1 %3D A a = 2.4"-1 a…

A: Given, the sequence                2,   8,   32,  128 ....... So , by observation 2 = 2. 40   8 =…

Q: In each case, find the first 5 terms of the sum and compute S 31-1 00000 The sum is The first 5…

A: Given data is : ∑i=1n3i-1 Let an=3i-1  where i=1,2, 3,4 ......n Substitute i=1 so first term…

Q: cn? Let c be a nonzero real number and an Which one of the following 25n2 - Зп + 7 statements is…

A: We have an=cn225n2-3n+7Now   limn→∞ an  =limn→∞ cn225n2-3n+7                             =limn→∞…

Q: Find of the following the Sum scrics. 2. 1- In(10)+ 2! る!

A: The given series is, y=1-ln10+ln1022!-ln1033!

Q: 3. Suppose a formula that you need to prove by mathematical induction is true for all the natural…

A: Given problem:- Suppose a formulas that you need to prove by mathematical induction is true for all…

Q: (b) Generalize: if the numbers 1 to n are placed around a circle in some order, what is the best…

A: (b) If the numbers 1 to n are placed around the circle in some order, the best possible lower bound…

Q: Write an explicit formula for the sequence: 1 1 11'12' 1 1 9' 10 1 13

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Q: A sequence {am} is called increasing, if an > an+1 for all n > 1. Select one: O True O False

A: We can answer it as below as per the definition of increasing function.

Q: Find the exact values of the following sums 23n 3n (1) 52n n=1

A: As per our guidelines, I can answer only one question

Q: Find an explicit formula for the general term an of the sequence. (1,-1/3,1/5,-1/7,...)

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Q: What would be the 31 st term of the sequence x2, x, 1 А. х28 1 В. x26 C. x28 1 D. x33

A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

Q: Find a formula for the nth term of the following sequences: (4) +, 구, 흙, An = (b) , 2 3 5 6 , 7) 4…

A: Solution: The objective is to find the nth term of the given sequences

Q: Let h be a prime number and let k be some integer. What are the possible values of ged(h+k, h-k)?

A: We have given that ,  h be any prime number and k be some integer. We need to find possible values…

Q: Suppose Suppose a, = 3n? – 3n – 3. Find a closed formula for the sequence of differences by…

A: Given, an = 3n2 -3n +3  We have to find an-an-1

Q: 1. Find a counterexample to show that each statement is false: The sum of three multiples of 5 will…

A: Counterexample is to show the statement false by proving some example is wrong with the statement.…

Q: Which of the following is the negation of the proportion: "For every natural number n, 2n + 1 > 1."

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Q: Find the 70th term of the following arithmeti c sequence. 4, 11, 18, 25

A: First term of the A.P. is 4 Common difference, means the difference between two consecutive terms is…

Q: Write an explicit formula for the sequence: 1 1 12' 13 -1 1 8'9' 1 1 | .. 10' 11

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Q: In each case, find the first 5 terms of the Sum and comgute S

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Q: Whose nth term is the nth prime number find the first five terms.

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Q: For the natural numbers that are multiples of 3 and less than 76. a. What is the largest of these?…

A: The natural number that are multiple of 3 and less than 76 are  3,6,9,12,........,72,75

Q: A sequence {a,} is defined by ao = a1 = a2 = 1 and an = 7a,-2+6an-3 n>3. Find a general formula for…

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Q: Choose the correct statement(s) for given sequence 2n an n2 +1

A: a sequence is converges if  limn→∞     n = finite

Q: The series: E ne-n? пе n=1

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Q: Find the first four terms in the sequence. 2" 3) а a 2n + 1

A: solution.

Q: th Find the 66 term of the following arithmetic se 2, 10, 18, 26, ..

A: Given : 2 , 10 , 18 , 26 , ....... n = 66

Q: 35 ?Which of the suggested answers completes the sequence O De

A: Firstly we slide second square on right side and circle upward .Then, we First square diagonally and…

Q: Find an expression for the n th term (t) in each of the following sequence: 1 1 1 1 1 >... 3 4 5 6.…

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Q: Use inductive reasoning to predict the next line in the sequence of computations. Then usea…

A: The given terms are: 11×9.091=100.00122×9.091=200.00233×9.091=300.00344×9.091=400.004

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

A: .

Q: let be a sequence sit. 2 for oxaza2 12 then 6'mam=? 348

A: Let an be a sequence  such that for 0<a1<a2 an+1=an+an-12,n⩾2. Find limn→∞an.

Q: Find the sum of the numbers in each row, except row 0, of the portion of Pascal’s triangle shown…

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Q: Compute the value of the following. (Assume n is an integer.) (:), for n 2 3

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Q: Write an explicit formula for an, the nth tern=m of the sequence 14, 21, 28

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Q: valuate each ari 10 23 n= 15 3 3 6.

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Q: By Fundamental theorem of arithmetic which of the following is true? a. 56 = 23.7 b. 56 = 8.7 %3D c.…

A: Fundamental theorem of arithmetic : Every composite number can be expressed as a product of primes,…

Q: Use inductive reasoning to predict the next line in this sequence of computations. Then use a…

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Q: find the explicit formula San's n-i for the nth term of the Sequence 343,2401.. >1)-7, 니9,- . 6 an =…

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Q: Which of the following conjectures describes the pattern of the sequence 2, 4, 8, 16, 32? * O Two is…

A: Given: 2, 4, 8, 16, 32?

Q: The nth term of the following sequence 1, 4, 7,10,.is A. n В. Зп - 2 C. 3n + 2 D. None of the above

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Q: Find the sum of all natural numbers n such that 2021-n/99 is a natural number ?

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Q: use the approach in Gauss's problem to find the following sum of arithmetic sequences.…

A: Topic = Series

Q: In each case, find the first 5 terms of the sum and compute 3 2 2 The first 5 terms are: 000 The sum…

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Q: There are 8 seats in the first row of a theater, 12 seats in the second row, and 16 seats in the…

A: Given ,  There are 8 seats in the first row of a theater , 12 seats in the second row , and 16 seats…

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 2, 4, 6,

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Q: a. Prove the following Arithmetic Expression. Mul(Plus(5,Mul(5,Plus(2,5))),Pred(5,Plus(1,2)))

A: We have to prove the arithmetic expression.