Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric sequence to evaluate 5° +54 + 5° + · . . + 5", where n is any integer with n > 2.

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

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Q: If the 5th term in a geometric sequence is 25 and the 7th term is 16, what is the common ratio of…

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Q: Determine the nth-term formula for the given sequences, then compute for the 50th term. 9. 1,5, 11,…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: (1) Using the appropriate formula, find the 17th term of the sequence 7,4, 1,....

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: find a formula for the nth term of the sequence. 1, -1, 1, -1, 1,....

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Q: The sum of the first 20 terms of the sequence O.7,0.77, 0.777,.. is

A: We have to find the sum of first 20 terms of the sequence: 0.7, 0.77, 0.777, ..... Assuming the…

Q: The third term of the arithmetic sequence is 72 and the number of the third term with the fifth term…

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Q: Find the first four terms in the sequence with the nth term 6n−2

A: Given the nth term=6n-2 We have to find a1,a2,a3 and a4

Q: Given a sequence defined by the explicit definition: tn = 2" – n, find the 5th term of the sequence.…

A: It is given that,the sequence:tn=2n-n We have to find the 5th term of the sequence.

Q: For the sequence 2, 4, 8, 16 .. ., give a formula for its nth term:

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Q: Calculate the first 5 terms of the sequence an = Factions and as decimals to 3dp. (1+)", expressing…

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Q: The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1 + Fn-2-

A: Given statement is The Fibonacci number is a sequence which is described explicitly by  Fn = Fn-1 +…

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: Find a formula for the nth term of the sequence. 3,9, 27, ... = X

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Q: Given the explicit formula for a sequence, find the first five terms and the 52nd term. 1) а — 41-…

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Q: The sum of the first n terms of a sequence is (17n^2 )– 11n. Determine the 20th term.

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Q: Use the common ratio to calculate the next 3 terms for the sequence: 2,4,8,16

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Q: Find the first five terms of the recursively defined infinite sequence.

A: Consider the given information a1=2, ak+1=3ak-5. Obtain the first five terms of the sequence as…

Q: .Find the first four terms and the 100th term of the sequence whose nth term is given. an =2n−4

A: To find the first 4 terms we will plug n=1,2,3,4 respectively

Q: The second term of a geometric sequence is 14 and the sixth term is 224. fin the nth term and assume…

A: we have to find the nth term

Q: Find the explicit formula for the given sequence. 2,8, 32, 128, ...

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Q: Find the first 4 terms and the 12th term of the geometric sequence: n а, 3D 1024|

A: We are given the following geometric series.               an=102412n Now,…

Q: Consider the sequence {5,7.5,11.25,...}. What is the sum of the first 10 terms of the series? Round…

A: Sum of Geometric sequence The formula of the first n terms of a geometric sequence is Sn=a1(1-rn)1-r…

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: What is the nth-term formula for the number of tiles in the nth figure of the sequence?

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

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Q: Find a formula for the general term ɑn of the sequence assuming the pattern of the first few te con…

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Q: 2" An 2n+1

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Q: Determine the formula for the nth term of the sequence 2,7,12,17,22?

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Q: The 13th term of a sequence is 8, and the 17th term is 8. What is th

A: Given, the 13th term of a sequence is 8 and 17th term of sequence is 8.

Q: find a formula for the nth term of the sequence. 2, 6, 10, 14, 18,...

A: 2, 6, 10, 14, 18,........ It is an arithmetic sequence with

Q: Find the first five terms of the recursively defined infinite sequence.

A: Find the first five terms of the recursively defined infinite sequence.

Q: Find the sum of the finite arithmetic sequence. Sum of the integers from  −40 to 50

A: Given  Integer from -40 to 50

Q: the n^th term of the following sequence 1,4,7,10,...is

A: For given sequence a1 = 1 a2= 4 a2 = a1 + 3

Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: Given: A sequence is arithmetic sequence in which a1=-2, d=14 and S=21. To find the number of terms…

Q: If the explicit nth term formula for the given sequence is an = 2n2 + bn +c, then b= and c= 5, 10,…

A: Plugging n=1, an=2n2+bn+ca1=212+b1+c5=2+b+cb+c=3 Plugging n=2, an=2n2+bn+ca2=222+b2+c10=8+2b+c2b+c=2

Q: Find an explicit formula for the sequence 1/2,-1/3,1/4,-1/6....

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Write the first term and the common ratio of the sequence. a=3,r=63=2

Q: Find the first ten terms of the sequence in the formula an = 4n -n - 2. %3D

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: What is the formula for the sequence 0, 1/pi1/2, 4/pi1/3, 9/pi1/4 starting with the term n=1?

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Q: find the speafied geometric sequence. 9, = 20, a term of the 135 %3D %3D 16 a3=?

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Q: find a formula for the nth term of the sequence. 1/25,8/125,27/625,64/3125,125/15,625, ...

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Q: Provide a simple formula or rule that generates the terms of an integer sequence 2, 16, 54, 128,…

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Q: If the fifth term of a geometric sequence is 64/27 and the sixth term is 256/81 , find the sum of…

A: Let the G.P. is a, ar, ar2, ar3, . . .arn-1 Sum of first n terms is given by, Sn=a(rn-1)r-1, r>1…

Q: Find the sum of the first 150 terms of the arithimetic sequence 6,9/2,3,........

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Q: Find the 36th term of the arithimetic sequence with third term 10 and eight term 25?

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Q: If the sequence 1, 0.3, 0.09, 0.027 is a geometric sequence, find the sum of the first five terms.

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Q: What are the first three terms of the sequence given that the nth-term formula is an=n/(n+1).

A: Given, nth-term of sequence is an=nn+1  find first three terms of the sequence-

Q: Find the seventh term of the geometric sequence from the given information. Express the term as an…

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