Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort of sequence is this? b. Find the sum of the first 25 terms. That is, compute £72, ak-

Q: Suppose we have the sequence 5, 5/9, 5/81, 5/729, ... Find an explicit formula for the nth term of…

A: Given Data: Sequence: 5, 5/9, 5/81, 5/729 Check common ratio for a geometric sequence. The common…

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

A: SOLUTION-

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

A: A detailed solution is given below.

Q: For the geometric sequence (4, 16, 64, 256, - - , the term a17 O 416 O4.416 O 4.43 O4.418 O4.45

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Q: Find the first five terms of the explicit arithmetic sequence. an = 4n 2 %3D O 2, 3, 4, 5, 6 O 6,…

A: we have to find the first five terms of the explicit arithmetic sequence an=4n-2 .

Q: (a) The nth term of a sequence is Un. The sequen

A: Introduction: 1: the sequence in which things are or should be linked, related, or dated Follow the…

Q: Show that the sequence defined by  a sub 1= 1  and  a sub n + 1 = 3 - (1/ a sub n) is increasing and…

A:

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: 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: Calculate, to four decimal places, the first ten terms of the sequence. 3n 1 + 4n an =

A: Given, an=3n1+4n

Q: 1. What is the 5th term of the geometric sequence described by a, = 5(1.5)"? %3D O az = 5.0625 %3D O…

A: The given question can be solved as shown in step2

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: Which explicit formula describes the sequence {1,2/7,4/29,8/343,...}?

A: gdfge

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

A:

Q: Find with explanation, a diginacci sequence that has no term equal to 11

A: Consider the given explanation. A diginacci sequence is defined as. The first two terms are any…

Q: What is the 8th term of the sequence whose ?th term is defined as ?? = (−1)^n(3n-2)

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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: Identify the explicit formula for the nth term of the sequence written below.   10, −50, 1000/3,…

A: The explicit formula is the formula that can give any term of the sequence upon inserting the…

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

A: TO find the explicit formula of given sequence .first check the common ratio terms since ratio is…

Q: Find the nth term of a sequence whose first several terms are given. 7 11 15 19 49' 16' 25'* 3, an

A: To find  The nth term of the given sequence

Q: If the nth term of a sequence is (-1)"+1, which terms are positive and which are negative? п

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Q: Find the first four terms of the sequence given by the following. a, = 64-3 (n-1), n=1, 2, 3... olo

A: Solve the given problem.

Q: Compute the first 6 terms of the sequence {an} where An-1+n a1 = 1 and an for n > 2.

A: The given sequence,a1=1 and an=an-1+n2 for n≥2

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

A:

Q: Consider the following sequence 4/7, 9/14, 5/7, 11/14, ____, if arithmetic, give d. and supply…

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Q: What will be the sum of arithemetic sequence with first term a1=1 and second term a2=24

A:

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: The following sequence is geometric: -1, 1, -, . O True O False

A: Given the geometric sequence−1,12,14,−18

Q: This is sequence and the is equal to

A:

Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + (-) %3D

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Q: Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric…

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Q: Give the 10th term of the following sequence: 1, 4, 7, 10

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Q: Write down the first five terms of the sequence ɑn = 9n n+15 a2 = az = a4 = as =

A:

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

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Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…

A:

Q: Consider the following sequence: 3,9,15,21,... Find the 50th term of this sequence.

A: This is an arithmetic sequence with the common difference =d= 9-3=6 And the first term = a_1= 3

Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

A:

Q: For the trihonacci type sequence begging 1,2,2 write the next five terms

A: To write the next five terms of the tribonacci sequence

Q: For an arithmetiIC sequence, ar 15. If the common difference is -1, find: the sum of the first 34…

A:

Q: The arithmetic sequence with a1=5 and d=4 _____,_____,_____,_____

A: Given: a=5,d=4

Q: Compute the first five terms of the sequence define by the formula T, = 2n2 – 5n + 1 For what value…

A: Given Tn  =  2n2 - 5n +1 T1 = 2×12 - 5×1 + 1 = -2 T2 = 2×22 - 5×2 + 1 = -1 T3= 2×32 - 5×3 + 1 = 4…

Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + an 4 10

A:

Q: 1. If the numbers a, m,m2, C, m, b form an arithmetic sequence, we say that the numbers m,m2, C, m…

A: If there are k arithmetic mean between a = 1 and b = 30 and d is the common difference of the…

Q: Identify the explicit formula for the nth term of the sequence written below.   4, -8, 64/3, -64,…

A: 4, -8, 64/3, -64, 1024/5, -2048/3

Q: For Exercise, write the first five terms of the sequence defined recursively. di = 30; d, = d,- - 1

A: We plug n=2 in the given formula and d1=30

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.