The nth term of a sequence is given. Find the first 4 terms. 2n 1 %3D + 2n 5 7 3 1, OT8 15'8 7. 1 1 5 3 2 11 18 1 3 1 7 3 8 3 24

Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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Q: The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first…

A: Given: In a Geometric series (GS), First term a1=a=8 Fourth term a4=216 To find: Sum of first 12…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 5 9 13 17 21…

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Q: In each part, find a formula for the general term of the the sequence, starting with n= 1. 1 1 1 1 1…

A: Since you have posted multipart questions i can do first three question as per our company…

Q: Find the first four terms of the sequence given by the following. 4n an n = 1, 2, 3, ... 3n+2 0.000…

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Q: 2. For each arithmetic series, state the values of a and d. Then, determine the sum of the first 20…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 8 10 12 14…

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

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Q: Find the sum of the first eight terms of the sequence shown. 1/2, -1/4, 1/8 . . . a. 1/256 b. -1/256…

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Q: If the first term of a geometric sequence is 3/2 and the second and third terms are -3/4 and 3/8.…

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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 12…

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Q: Find a formula for the nth term of the sequence in terms of n. 1 3 32 8' 10' 12 14' 16 33 34 ... an…

A: Given sequence 18,310,3212,3314,3416,...We find a formula for the nth term of the sequence .

Q: 1.2.3 1.2.3.4 1.2.3.4.5 1.2.3.4.5.6 7 8 9. 10

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Q: Find the first three terms and the sixth term of the sequence that has the given nth term. (-1)^ + 1…

A: Answer is given in next step.

Q: Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 9' 12' 15 18' 21 ** ...…

A: Try to observe the pattern in numerator and denominator separately.

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 5/1 , 7/2 ,…

A: The detailed solution is given below Thank you

Q: In each part, find a formula for the general term of the the sequence, starting with n = 1. 1 1 1…

A: a)      In each successive terms of the given sequence the denominator is rising by a factor of 3,…

Q: Write SEQ if the given item is a sequence and write SER if it is a series.   d. √3 + 2√3 + 3√3 +…

A: d)   3+23+33+43+53                 =∑n=15 n3         It is a series i.e, SER  e)…

Q: The first 4 terms in the sequence defined by the formula a; (-1)*+1 5 for i >1 a2= az = a4 =

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Q: I. Find the first three terms of the sequence whose nth term is given by the formula. Show the…

A: First three terms of the sequence

Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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Q: For Exercise, the nth term of a sequence is given. Find the indicated term. c n = 5n − 4; find c 157

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Q: Find the first three terms and the ninth term of the sequence that has the given nth term.…

A: An= (-1)n+11n(n+1)

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18…

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

A: The given sequence is:43, 49, 427, 481, 4243, ...To find the formula.

Q: Write SEQ if the given item is a sequence and write SER if it is a series.

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Q: Find the expression of the general term of the sequence given by 3 5 7 9 11 1, 2'6' 24' 120 ' 720 2n…

A: The given sequence,      1,32,56,724,9120,11720

Q: 5 7 9 11 13 1'2'6'24'120'

A: We need fond the pattern here

Q: Find the formula of the general term an of the sequence 1 1 1 1 3 '5'7 '9

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 12 1 2 6 24…

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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 12…

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Q: For Exercise, the nth term of a sequence is given. Find the indicated term. 2" find a5 an (п + 2)!

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Q: For Exercise, find the nth term an of a sequence whose first four terms are given. ( 5 10 15 20 4'…

A: To get the nth term an, we will try to write the sequence in general form. For which we will write…

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 2/1, 5/2,…

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Q: The general term for the sequence , . is: 3n n+1 3n 3+2 n+3 n+1

A: Given:     To determine: The general term of the given sequence.

Q: For the sequence defined by s, = E(? – i), complete the first three rows of the difference table i=1…

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Q: 1 4 9 9 16 3'9 27'81

A: The given first four term are -13,49,-927,1681. Rewrite the first four term as follows:…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 8 12 16 20…

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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 a formula for the nth term of the sequence where a, is calculated directly from n. 37 11 15 19…

A: The numerators are 3, 7, 11, 15, 19,... This is an arithmetic progression with a common difference…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 8 10 12 14…

A: Solution: Here, we have the numerator as 6, 8, 10, 12, 14 ....

Q: the nth term of  a sequence is given a)find the first five terms of GP b)what is the common ratio r?…

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Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 1 3 5 7 1'…

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Q: For Exercise, find the nth term an of a sequence whose first four terms are given. 1· 2 1.2.3…

A: Let Tn be the nth term. Examine the numerator of T1 = 1.2; that of T2 = 1.2.3; that of T3 = 1.2.3.4…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, s2/9,…

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

A: In this question, concept of sequence is applied. Sequence A sequence is an itemised collection of…

Q: Given that the sum of the first n terms of a sequence is S, where S, = n(n + 2), the fourth term of…

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Q: Find the n th term a of a sequence whose first four terms are given. 5 6. 7 8 - ... 11 22 33 44'

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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.