1)Find the partial sum sn of the geometric sequence that satisfies the given a= 5, r= 2 , n = 6

Q: Given the sequence defined by an = n2 − 2n, find the fifth partial sum.

A: To find the fifth partial sum from the given sequence of nth terms.

Q: 5. The sum of the first n terms of a sequence is called the nth sum and is denoted by S.

A: An arithmetic sequence is a series of numbers that have the same common difference and the sum of…

Q: Find the sum, if it exists, of the infinite geometric series related to 64(1) . n-1 the infinite…

A: So option (b) is correct.using the formula  S=a/1-r

Q: 1. Find the sum of the following infinite sequence: 40, 20, 10, …

A: A detailed solution is given below.

Q: కాంతవాలి కె సగవడాడి Find the sum of the finite geometric series 3+31/2+1+3-1/2 +. . . + 3-21

A:

Q: 16. (-9)+(-2)+5+· ;S,

A: NOTE: As per our guidelines, I have solved the 16th problem. If you want the answers of rest, kindly…

Q: Find the sum of the finite geometric sequence. E(-3)" - (-3)" – 1 n-1

A:

Q: Find the first five terms and the 14" term of a sequence with 2n +1 general term a, 2n-1

A: Given,         The first five terms and the 14th term of a sequence with the general          term ,…

Q: Find the sum of the finite geometric series 3+ 3/2 +1+3/2+... ...+3-21.

A:

Q: Find the sum of the finite geometric series 3+3/2 +1+3-1/2 + ...+3-21.

A:

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

A:

Q: Find the sum of the infinite geometric series.

A: Given geometric series is, 3-1+13-19+.....

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: In Exercise, the nth term of a sequence is given. Calculate the first five partial sums.

A: an=1(n+2)(n+3)

Q: *30. Formulate Substitute the formula for the nth term of an arithmetic sequence (105) into the…

A:

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 nth partial sum of the arithmetic sequence. = 2n – x;n = 18 S18 8 =

A: we use the formula Sn=a+(n-1)d where a is tge first term and d is the common difference. see 2nd…

Q: Find the sum of the infinite geometric series:

A: Given: S=3+2+43+89+................. We know that sumS of infinite geometric series is given by…

Q: 1. Find the first six terms and the sixth partial sum of the sequence whose nth term is a, = 2n – n.

A: Given: The nth term of sequence is, an=2n2-n . The first term of the sequence can be calculated by…

Q: Find the sum, if it exist, of the infinite geometric series related to the infinite geometric…

A: we have to find the sum of the given geometric series

Q: k

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Q: Find the partial sum Sn of the sequence an=log(n+5/n+6)

A:

Q: Find the sum of the first 10 terms of the geometric sequence defined explicity as: а, — 5 х 2n-1 O…

A: Option B is correct. Detail solution written below.

Q: Give an example of a sequence that converges to 4n-8 а. an %3D Зп - 5 3+ 8n b. %3D an 4+5n 4n-8 C.…

A:

Q: Find the sum of the infinite geometric series. Σ 2 5.6 · 0.5"-1 n = 1 S =

A:

Q: Find the sum of the infinite geometric series.

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Q: Find an explicit formula for a sequence of the form a,, a,, az, ... with the initial terms given…

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Q: Let {a,} be an infinite sequence with the property that 0 < a, < for all n 2 1. Calculate lim,-00…

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Q: 15. Find the 5th term of the geometric sequence whose common ration is and whose first term is 7.

A: Given first term is 7 and common ration is 1/2 Here a=7,r=1/2

Q: Given an arithmetic sequence with first term a1 and nth term an, the nth partial sum is given by the…

A: Given:

Q: Find the partial sum Sn of the geometric sequence that satisfies the given conditions. a = 7, r = 2,…

A: Given that first term a=7, common ratio = 2 , number of terms n=5   Then we will use the sum formula…

Q: 4. Find the sum, if it exists, of the infinite geometric series related to the infinite geometric…

A: solution:-an=120.2n-1sn=a(1-rn)1-rsum of infinite seriess∞=limn→∞a(1-rn)1-r

Q: a Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find…

A: We will answer the first question as we don't answer multiple question at a time. Please resubmit…

Q: Find the specified partial sum for each arithmetic series. 11. 4+11+18+25+;S0 = 12. 3+9+15+……;S2 13.…

A:

Q: 7. a) Determine the first 5 terms of the sequence defined by t, = tn-1+ 7,t, = 3,n € N b) Determine…

A: 7. given that

Q: a Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find…

A: Given That:  In Diginacci sequence, First two terms  are less than 100 To Show  : c) It has a term…

Q: Find the sum, if it exists, of the infinite geometric series related to the infinite geometric…

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Q: 7n*-5n³+21n+40 8n³+11n²-32

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Q: Find the nth partial sum of the arithmetic sequence. an 2n - x; n = 18 S18 =

A: an = 2n-x; n =18  To Find the nth partial sum of the arithmetic sequence

Q: Given the sequence defined by bn = n3 − 3n2, find the fourth partial sum.

A: Recall the following fact.

Q: (a) Find the sum of the finite geometric series: 2 + 6+ 18 + ..+ 13, 122

A:

Q: SHOW YOUR SOLUTION DETERMINE THE FIRST FIVE TERMS OF EACH DEFINED SEQUENCE, AND GIVE THEIR…

A: Given, The nth tems of the sequences {3n+1} {n²-1} an=an-1+1 , a1=5 an+1=3an , a1=1 Let's assume…

Q: 1. Find an explicit formula for the general term of the given sequence: 5, 10, 20, 40, 80,…..

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

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

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Q: Find the sum of each infinite geometric series, if it exists. 9 27 +.. 8 16 32 64 3 17. a, =-2, r=-…

A: See the calculation below

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.