Find the common difference d for the arithmetic sequence 4, 5, 6, 7,...

Q: Find the simplest form of the general term for the sequence 12, 17, 22, 27, .... 5 n+ 2 10 n- 2 10…

A: Please refer the attached image for complete solution.        Given:      sequence:…

Q: nd Find the 72 term of the following arithmetic sequence. 13, 21, 29, 37, ...

A: Recall:  nth term of arithmetic sequence is, an=a1+(n-1)d where, a1=first term, d=common difference…

Q: Find the nth term of the arithmetic sequence with the given values. 2 %3D a = 5' 15 n=614

A: Given : a1 = 65d = 215n = 614

Q: Find the 7th term of the geometric sequence -3, 9, –27, 81, –243,.. а. 729 с. -2,190 b. -2,187 d.…

A: We have to find 7th term of the geometric sequence -3,9,-27,81,-243,...

Q: Find the 14th term of the given arithmetic sequence. 360, 356, 352, ...

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Q: Find a, and an for the arithmetic sequence. as = - 2, ag = 10 a4 = an %3D

A: nth term of AP is given by, an= a+(n-1)d

Q: Find the infinite sum of the geometric sequence with a = 4, r = Soo = > Next Question if it exists.

A: Topic-geometric Progression

Q: Find the common difference of the arithmetic sequence –5, –14, –23, ..

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Q: Find the 7" term of the geometric sequence 0,0, 0, .. Answer:

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Q: Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and…

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Q: Write the first five terms of the arithmetic sequence. a 1 = 13; d = -4 9, 5, 1, -3, -7 13, 9, 5, 1,…

A: Given,

Q: th Find the 50 term of the following arithmetic sequence. 14, 20, 26, 32, . ..

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Q: Find the specified term of the arithmetic sequence that has the two given terms.a1; a6 = 2.7,…

A: To find: The first term a1 of the arithmetic sequence. Given: The sixth term a6 of the sequence is…

Q: Find the common difference d for the arithmetic sequence. 8,3,-2, -7, ..

A: The given sequence is: 8,3,-2,-7,...

Q: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

Q: Find the indicated term of the geometric sequence. 6, -4,.; ...; a7 3 a7 =

A: Consider the geometric sequence 6, −4, 8/3, ⋯

Q: Find the infinite sum of the geometric sequence with a=4,r=28a=4,r=28 if it exists. S∞=

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Q: For the geometric sequence 1, b, b2, b3, ... , simplify bS6−S6=

A: given1, b, b2, b3, ...first term a=1common ratio r=second termfirst termr=b1r=bsum of n terms of…

Q: For the geometric sequence {3,6, 12, 24, · . .. . .}, the term a15 3- 214 2. 24 214 2· 22 3. 216

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Q: Determine the first five terms of the arithmetic sequence {an} with a1 = 4, and d = 8.

A: Given: to find first five terms of the arithmetic sequence with a1 = 4, and d = 8.

Q: Write a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8, 14, . . . .

A: we have to write  a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8,…

Q: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: th Find the 79" term of the following arithmetic sequence. 8, 17, 26, 35, ...

A: To find the 79th term of the folllowing arithmetic sequence.   8,17,26,35,.....

Q: Find the number of terms in the finite arithmetic sequence: {- 2, 4, 10, 16, 22, ..., 466} n 3=

A: As per our guidelines we can answer only one question .please repost other seperately

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 12th term in the arithmetic sequence an = 3 − 6(n − 1).

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Q: Find the first term, a1, and the common difference, d, of the sequence. 13, 10, 7, 4, 1, ...

A: The given sequence is 13, 10, 7, 4, 1,.... So the first term is=a1= 13

Q: Find the sum of the arithmetic sequence, Sn- 5, 10, 15, 20,..., 125

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence : -2, 8, 18, 28,…

A: The given sequence is -2, 8, 18, 28,...   formula used: an=a1+n-1d an=nth terma1=1st termd=common…

Q: Find the common difference and the sum of the first 8 terms of the arithmetic sequence. an = 4(n-1)…

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Q: Find the common difference , d, of the arithmetic sequence: 1/2, 3/4, 1, 5/4, 3/2, 7/4, 2...

A: If a1 , a2 , a3 , . . . , an , . . . be a arithmetic sequence then common difference d = a2 - a1 =…

Q: Determine the value for x which makes the following sequence arithmetic. 2x-1, x+12, 3x-2

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Q: Find the 14 term of the following geometric sequence. 4, 8, 16, 32, ... O

A: The geometric sequence is given as: 4, 8, 16, 32, …. We need to calculate the 14th term of the…

Q: Find the specified term of the arithmetic sequence that has the two given terms.a15; a3 = 7, a20 =…

A: Given for an A.P ,a3=7,a20=43 To find: a15 Solution: We know,nth term of an arithmetic sequence…

Q: What is the first term in the geometric sequence given that a4 = 40 and r = -? %3D 2

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Q: Determine whether the sequence is arithmetic or geometric.4, 8, 12, 16, 20, . . ._____________

A: Given: 4, 8, 12, 16, 20, . . .

Q: Find the 59th term of the following arithmetic sequence 2,8,14,20

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Q: Find the number of terms in the geometric sequence 16, 8, 4, 2, ... , 16

A: The nth term of the GP with a as the first term, r as the common ratio is given by, an=arn-1

Q: Find a2 and. a3 for the geometric sequence. 8. a2, a3,

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Q: Find the 15 term of the arithmetic sequence 1.18, 1.26, 1.34, ... the 15h term is

A: topic - arithmetic sequence

Q: Find the common ratio of the geometric sequence 40, 30, 22-

A: Given series is, 40,30,2212,...

Q: Find the indicated term of the geometric sequence. 6th term of 3, 3/4, 3/16…

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Q: Find the specified term of the arithmetic sequence that has the two given terms.a11; a1 = 2 + √2,…

A: a1=2+2a2=3

Q: Find the indicated term of the geometric sequence. 10) 8th term of 1, 10) 11

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Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = -9, a10 = 15, n…

A: Formula to find the sum of the arithmetic series helps to find the required sum. Assume that the…

Q: Find t 10 in the arithmetic sequence 11, 7, 3, .

A: Explanation and solution is given below....

Q: The missing term of the arithmetic sequence, 31, [ ], 47

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Q: Find the 22" term of the arithmetic sequence whose common difference is d=2 and whose first term is…

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Q: Find the 40th term of the arithmetic sequence with a, = 150 and a common difference of d= -4. 1. -6…

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Q: For the geometric sequence (6, 18, 54, 162, , the term a13 : 312 O 3.35 O 6-314 O 3.37 6- 312

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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.