Determine the nth term of the arithmetic sequence whose nth partial sum is 2n2

Q: The nth term of a sequence is given. Calculate the first five partial sums.

A: Given that, an=12n+5

Q: Find the nth term of the geometric sequence whose initial term is a1=6.5 and common ratio is 8

A: The geometric sequence whose initial term is a1=6.5 and common ratio is 8

Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 6 and common…

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Q: Find the nth term of a sequence whose first several terms are given. 6, 12, 18, 24, . .

A: Given Seies, 6,12,18,24.........

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

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Q: The nth term of a sequence is given. Calculate the first five partial sums.

A: A partial sum of first n terms can be found by the sum of the previous terms. Put the values of n…

Q: Find the sum (to the nearest hundredth) of the first 17 terms of the sequence defined by the…

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Q: Find the 30th partial sum of the arithmetic sequence:   78, 76, 74, 72,\70, ....

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Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. az = 36, ag =…

A: Let we have a geometric series with first term a and common ratio r then the formula for the nth…

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. -6, -1, 4, 9, ..., n =…

A: We will find the 100th term first and will add first 100 term to find nth partial sum for n= 100

Q: find a formula for the nth term of the sequence. 0, 1, 1, 2, 2, 3, 3, 4,...

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Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: To find first four terms and seventh term of sequence .

Q: Find the seventh term of the geometric sequence whose second and third terms are 2 and -√2.

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Q: find the nth partial sum of Sequence for the given vale of n. -6,-1,4,9,-., nニ 100

A: Given : Arithmetic sequence -6, -1, 4, 9, ...................   To find : Partial sum of the…

Q: Determine the nth term of the arithmetic sequence whose nth partial sum is n2 + 2n. [Hint: The nth…

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Q: Find the 5th term of the geometric sequence: – 5, – 30, – 180, ... - - Round to 1 decimal place if…

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Q: The nth term of a sequence is given. Calculate the first five partial sums.

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

A: Given,                a1=5,                       ak+1=7-2ak

Q: What is meant by the partial sums of a sequence?

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Q: Find the 7tn term of the geometric sequence whose common ratio is and whose first term is 4.

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Q: Find the partial S8 for the geometric sequence with a = 5, r = 3. sum %3D

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Q: 9. Find the partial sum of arithmetic sequence of 25 terms starting with 5, 10, 15, 20,.........

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Q: Find the 10th term of the geometric sequence. aj1 = -5, r = - %3D %3D 10th term:

A: →nth term any geometric sequence is given by,                            an = a1 rn-1 , Where a1  is…

Q: Find the sum of the finite geometric sequence. Σ( = 1 3\7-1

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Q: Determine whether the sequence {√n+2−√n+1} converges or diverges.

A: To check for the convergence of the given sequence, we find the following limit: To calculate the…

Q: Find the sum of the first 36 terms of the arithmetic sequence with first term 5 and 36th term 110.

A: Given first and 36th term is 5 and 110.

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: find the sum of the finite geometric sequence.

A: To Determine: Find the sum of finite geometric sequence.

Q: Find the infinite sum of the geometric sequence with a = = 6, r = if it exists. %3D 2 00

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Q: find the indicated nth partial sum of the arithmetic sequence.

A: Consider a sequence whose

Q: What will be the sum of first 6 terms of he geometric sequence with the first term a1=2 and a2=24

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Q: 1 5. 2 n* + 4 n=1 N n²

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Q: State the first five terms of the arithmetic sequence tn=5(n)

A: The given nth term of the arithmetic sequence is tn=5(n)

Q: List the first five terms of the sequence defined by An = (-1)".10"-1 %3D

A: SOLUTION-

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 first 20 terms of the sequence. 1, 4, 7, 10, ..

A: By using sum formula, we calculate the required sum of the sequence.

Q: Explain why the sequence of partial sums for a series of positiveterms is an increasing sequence.

A: Let us consider a sequence as shown below to understand this - 2, 4, 6, 8, 10, 12, 14…

Q: Find the 25th partial sum of the arithmetic sequence 75, 70, 65, 60,...,

A: Let's find.

Q: Find the first 4 terms of the sequence with first term2 and nth term an = 2an-1 + 3.

A: Our Aim is to find the first 4 terms of the sequence with first term and nth term an=2an-1+3

Q: the

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Q: Write the first four terms of sequence whose general term is given an = 3n + 2.

A: Given: an=3n+2 To Find: First four term of the sequence whose general term is given.

Q: Find the sum to the nearest tenth of the first 17 terms of the sequence defined by the recursion a…

A: Given first term ( a ) = 5 Next term of series = 1.1 + an-1 This defines an A.P. with first term of…

Q: Find the indicated nth partial sum of the arithmetic sequence. a₁ = 13, 316, n = 120 120 =

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Q: Find the 10th term of a geometric sequence whose 2nd term is 7 and whose 5th term is 35. Report it…

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Q: (2п)! An

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Q: Find the first four terms of a sequence whose nth term is given by n^2 - 1.

A: Topic :- Sequence

Q: Find the partial sum S5 for the geometric sequence with a = 6, r = 3.

A: The first term of GP is given a = 6 Ratio r = 3

Q: What is the fourth partial sun for the geometric sequence a1=18 and r=2

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Q: Find the indicated nth partial sum of the arithmetic sequence. 6.3, 6.1, 5.9, 5.7,. . .,   n = 13

A: Given arithmetic sequence is  6.3, 6.1, 5.9, 5.7,...... we are given with arithmetic sequence, so…

Q: Find the first six terms and the sixth partial sum of the sequence whose nth term is an = 2n2 - n.

A: Substitute 1 for n in the equation an=2n2-nto determine the first term. a1=2(1)2-1=2-1=1

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.