The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the following expressions represents the nth term of the sequence? A 4n+1 B 4n + 5 C) 5n +1 D 5n + 5

Q: In an arithmetic sequence a1, a2,, an, if the first term is 7 and the common difference is 6, then…

A: here option C is true

Q: Consider the arithmetic sequence with a1= 2 and d=3 write the first five terms of the sequence find…

A: For the Arithmetic sequence, given data are, First term  a1 = 2 common difference d = 3 The nth term…

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 4 and the common difference is 3,…

A: we use the formula of nth term an=a+(n-1)d.and solve the question. see 2nd step.

Q: Given Arithmetic Sequence a1, a2,·*, ɑn the first term is 25 and the common difference is 3, find…

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Q: Find an explicit formula for the geometric sequence -25,-50,-100,-200, .. Note: the first term…

A: d(1) = -25 Common ratio of G.P. = d2d1= -50-20 Common ratio of G.P. = 2

Q: In an arithmetic sequence (a1, a2, a3, the first term is 5 and the 15th term is 61, then S15 is 555…

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Q: In an arithmetic sequence {a1, a2, d3, - the first term is 6 and the 11 term is 46, then S1 is 330…

A: Use the formula for the sum of  n terms of an arithmetic sequence.

Q: What is the equation for the nth term of the arithmetic sequence where a₁ = 28 and d = -6? an=28-6n…

A: Solution of given question is written in below steps.

Q: a) Find a formula for the nth term of the sequence. 1, 1/8, 1/27, 1/64, . . .   b) Write the first…

A: Explanation of the solution is given below....

Q: Given the geometric sequence: -1, 6, -36, 216, . Which of the following represents the explicit…

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Q: 23. The third term of an arithmetic sequence is 15, and the seventh term is 23. Find the 30th term.…

A: Given Data: The third term of the arithmetic sequence is: a3=15 The seventh term of the arithmetic…

Q: If the 3rd term of an arithmetic sequence is 18 and the 7th term is 38. Find the 10th term. Select…

A: Here, 3rd term, x3=18            7th term, x7=38 We need to find 10th term, x10

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by s, = 2n…

A: Given that, Sn=2n+3n2 Formula for the sum of the arithmetic progression is Sn=n2{2a+(n-1)d} --- (1)…

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 7 and the common difference is 3,…

A: Given that in an arithmetic sequence  a1 , a2 .......... ,an.          First term is 7 and common…

Q: In an arithmetic sequence , if ag = -12 and ag = -31, then the common difference d is O 19 O -22 O…

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Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal…

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1…

Q: Find the 7th term of the geometric sequence: {32a(b), 16a(3b), 8a(- 96), 4a( - 27b), ...} 07…

A:

Q: The first term of an arithmetic sequence is -4. The fifth term of that arithmetic sequence is 16.…

A: Given: The first term of the arithmetic sequence is -4, i.e. a=-4.            The fifth term of the…

Q: an=lo-4 (-1)n Findthe first 10 terms of the sequence

A: Given, an=10-4-1n Now plug n=1 we  get, n=1 ⇒a1=10-4-11⇒a1=10--4=14n=2 ⇒a2=10-4-12⇒a2=10-4=6n=3…

Q: The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the…

A: We have to find the nth term of arithmetic sequence

Q: The first term of an arithmetic sequence is a = 7, and the common difference is d = 3. How many…

A: Given: for given arithmetic sequence, first term a=7, common differenced=3 let's sum of n terms of…

Q: If the general term of an arithmetic sequence is a(n) = 7n - 3, find the sum of the first 7 terms of…

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Q: In an arithmetic sequence a1, a2, , an, if the first term is 4 and the common difference is 4, then…

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Q: (a) Write a nonrecursive formula for the n term of the arithmetic sequence {a based on the given…

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Q: 5. The third term of an arithmetic sequence is 28, while the fourth term is 41. Write the sum of the…

A: Given:  Third term of arithmetic sequence =28                fourth term     =41  To find : Sum of…

Q: Given a term in an arithmetic sequence and the common difference find the 52nd term and the explicit…

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Q: In an arithmetic sequence {a1, a2, a3, ·} the first term is 7 and the 14th term is 46, then S14 is…

A:

Q: In an arithmetic sequence a1, a2,, an , if the first term is 6 and the common difference is 4, then…

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Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

A: 14, 11, 8, 5 ,...To find:da5ana100

Q: The sum of the first n terms of an arithmetic sequence is S, = bn – 2n². Find b if the tenth term is…

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Q: The 12th term of an arithmetic sequence is 34 and the fifth term is 20. Find the 20th term.

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Q: The sum of the first n terms of an arithmetic sequence is Sn = bn - 2n2. Find b if the tenth term is…

A: A sequence is a function from set of natural numbers to the set of real numbers. An arithmetic…

Q: Given the first term and the common difference of an arithmetic sequence find the first five terms…

A: 1). We know that the common difference  d = 10 and a1=28 .The general formula for an arithmetic…

Q: A geometric sequence has 7 terms, if the first term is 4 and the last term is 256, then the middle…

A: In this question we are given with that the series is it geometric sequence and we are given with…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the sixth term…

A: Given a1=12d=5We know that general terman=a1+(n-1)dSo, an=12+(n-1)5an=7+5n

Q: a) Write an equation for the nth term of the arithmetic sequence whose seventh term is 21 and has a…

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Q: The attached diagram represents the first three terms of a sequence:   Assuming the pattern…

A: Given,

Q: Find the nth term of the arithmetic sequence {an} whose initial term a and common difference d are…

A:

Q: 7. In an arithmetic sequence, the first term is –7, while the sixth term is 23. a. Find the common…

A: Given :

Q: 12. The 8th term of an arithmetic sequence is 16, and the 18th term is 56. Find the sum of the first…

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Q: Which explicit formula represents an arithmetic sequence with a first term of 19 and a common…

A: Given: a first term of 19 and a common difference of 4 a=19  and common difference d= 4 The general…

Q: 6. The fifth term of the arithmetic sequence is 28 and the 16th term is 105. Find the common…

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Q: The first four terms of the arithmetic sequence are given below. Determine an. 15, 11, 7, 3, ... О…

A: The first four terms of the arithmetic sequence are given below 15,11,7,3 To find: an

Q: In an arithmetic sequence , if a2 = -–6 and az = -19, then the common difference d is O 15 O -16 O…

A: Explanation of the solution is given below...

Q: The first three terms of an arithmetic sequence are given. Find an expression for t in terms of n,…

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Q: In an arithmetic sequence a1, a2, · ·., an , if the first term is 3 and the common difference is 4,…

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Q: If the 100th term of an arithmetic sequence is 589, and its common difference is 6, then its first…

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

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Q: <th For a given arithmetic sequence, the 6 term, a, is equal to 26, and the 35 term, azs, is equal…

A: Let a be first term of A.P.  And, d be the common difference, then