Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156 inches tall, and on the next day it will be 169 inches tall. Write an explicit formula to represent the height of the bamboo plant as an arithmetic sequence. How tall will the plant be in 13 days?

Q: Write a recursive formula for finding the nth term of each arithmetic sequence. 15.75, 14.25, 12.75,…

A: First Term of the sequence is a1=15.75 common difference is: d=an-an-1=a2-a1=14.25-15.75=-1.5…

Q: Write the arithmetic sequence 19, 26, 33, 40, ... in the standard form: An

A: The given arithmetic sequence is19,26,33,40,....We need to write it as terms of the sequence an

Q: Find the recursive and explicit formula for each arithmetic sequence. Explicit formulas need to be…

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Q: Write the first six terms of the arithmetic sequence shown below. anan-1-19, a₁ = 33 ***

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Q: Jenny planted 25 marigold saplings in the first row of her garden patch, 24 saplings in the second…

A: We have to find the number of saplings in each of the next three rows.

Q: Find the 12th term of the arithmetic sequence 2x + 9, –2x + 15, -6x + 21, ... 00 Answer: Submit…

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Q: Find the missing terms in the arithmetic sequence 2, a2, a3, 11

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Q: Show that the sequence is arithmetic. Find the common difference, and write out the first four…

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Q: Write the arithmetic sequence – 6, – 11, – 16, – 21, ... in the standard form: - An

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

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Q: Write the first six terms of the arithmetic sequence in which a1 = 6 and an = an-1 - 2.

A: Given: a1=6an=an-1-2

Q: Write the arithmetic sequence – 4, – 13, – 22, – 31, .. in the standard form: an

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Q: In an arithmetic sequence, a, = -3 and d = -5. What is a4?

A: The nth term of an arithmetic sequence is an=a+n-1d Here,  a= first termd= common difference Now,…

Q: Describe the pattern, write the next term, and write a rule for the nth term of the sequence. 1. 4,…

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Q: Write the arithmetic sequence 38, 34, 30, 26, ... in the standard form: an

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Q: Write the first six terms of arithmetic sequence an+1 = an + 5, a1 = -2.

A: Arithmetic sequence is sequence in which terms are obtained by adding a fixed value to the last…

Q: Find the recursive formula for the Arithmetic sequence. -24, -34, -44, -54, .. ...

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Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: Write the arithmetic sequence 15, 17, 19, 21, ... in the standard form: An

A: here the first term is  . find the common difference

Q: Caroline saves money in an arithmetic sequence: $250 the first year, another $450 the second, and so…

A: Given :  Caroline saves money in an arithmetic sequence First year = 260 ; Second year = 450 and…

Q: Find a formula for the nth term of the arithmetic sequence. 85 = 170, 10 = 95 an

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Q: formula

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Q: Determine the value of the 100th term of the arithmetic sequence 130,123,116,109. Give the answer…

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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: Write the arithmetic sequence 37, 29, 21, 13, .. in the standard form:

A: Arithmetic series: An=A0+(n-1)d

Q: Write the arithmetic sequence 38,35,32,29,... in the standard form: an=

A: Given sequence  38,35,32,29.....  To find  nth term of given sequence

Q: Write the arithmetic sequence 17, 22, 27, 32, ... in the standard form: An ||

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Q: Write the arithmetic sequence – 14, – 17, – 20, – 23, ... in the standard form: An

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

A: The given sequence-1,-2,-3,......

Q: Write an expression for the sum of the first n terms of a geometric sequence.

A: Given data:   The given number of terms in the geometric sequence is: n.   The expression for the n…

Q: Write the arithmetic sequence – 19, – 23, - 27, – 31, ... in the standard form:

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Q: Write the arithmetic sequence -4, – 11, – 18, 25, in the standard form: an

A: Given that

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

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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: Find the sum of the first 50 terms of the arithmetic sequence below. - 19, - 15, - 11, -7, .. The…

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Q: Write the arithmetic sequence – 5, – 8, – 11, – 14, ... in the standard form: - - an

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Q: 44. Make Sense and Persevere After the first raffle drawing, 497 tickets remain. After the second…

A: Given: After first drawing, 497 tickets remains. And, after second 494 tickets remans. As, the…

Q: Identify if the sequence of arithmetic and geometric sequence?

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Q: In an arithmetic sequence, the first term is -8 and the sum of the first 20 terms is 790 Whats the…

A: By using sum of arithmetic sequence formula, we calculate the common difference of arithmetic…

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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

A: In arithmetic sequence, common difference is calculated as d = an - an-1   where an and an-1 are nth…

Q: 2. ,a = 12 %3D

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Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.2, 6, 10, 14,.....

A: Given: The arithmetic sequence 2, 6, 10, 14, ..., To find: nth, 5th, 10th term of the sequence.…

Q: Write the arithmetic sequence 10, 18, 26, 34, ... in the standard form: an

A: Note that the general form of an arithmetic progression is given by an=a+(n-1)d where a is the first…

Q: In an arithmetic sequence, t11 = 72 and t21 = 142. What is the value of the first term and what is…

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Q: John saves money in a manner that it forms an arithmetic sequence. John saves 5 dollars on the first…

A: Since you have asked multiple questions, we will solve the first question (Question-3) for you. If…

Q: For an arithmetic sequence, a14 = 43. If the common difference is -8, find: the sum of the first 59…

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Q: If two terms of an arithmetic sequence are a₁₁ = 26 and 815 = -10, what is 828? -226 O-217 O-127…

A: I have stated the used formula in the solution.

Q: Write the arithmetic sequence 7, 11, 15, 19, ... in the standard form:

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Q: Write the arithmetic sequence – 11, – 3, 5, 13, ... in the standard form: an

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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.