Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term. 5th term is - 24; 16th term is 53 ..... What is the first term of the sequence?

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

A: Given,First term of AP = a = 5Third term of AP= 13Let, Second term of AP = xWe can write AP as - 5,…

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....

A: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....…

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

A: First I have written the general term formula for an arithmetic sequence, just use this formula for…

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 common difference d and the nth term an of the arithmetic sequence

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Q: Write a formula for the general term (the nth term) of the geometric sequence 0.0007, -0.007, 0.07,…

A: an=0.0007×-10n-1 and a7=700.

Q: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

A: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

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

A: The question is solved for arithmetic sequence

Q: The 7th term of the geometric sequence whose first term is 6 and the common ratio is is 3 256 729…

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Q: Write a formula for the general term (the nth term) of the geometric sequence 100, 10, 1, 1/10, . .…

A: 100, 10, 1, 110, ........ Here, a=First term=100r=common ratio=second termfirst term=10100=110

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, -6, 9, -13.5....

A: Given:               4, -6, 9, -13.5,..........     The given statement is the geometric sequence:…

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

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Q: Write a formula for the general term (the nth term) of the geometric sequence 0.0004, -0.004, 0.04,…

A: Given:          Geometric sequence:  0.0004, -0.004, 0.04, -0.4................... First term…

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.2, 6, 18, 54,...

A: The geometric sequence is: 2, 6, 18, 54,..... We have to find the fifth, eighth and the nth term of…

Q: Find the fifth term and the nth term of the geometric sequence. First term is a=1 and common ratio…

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

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Q: Write a formula for the general term (the nth term) of the geometric sequence, 18, 6, 2, 2/3, . . .…

A: Given geometric sequence is 18,6,2,23,....... Here, first term a1=18 Common ratio, r=618=13 Formula…

Q: Write a formula for the general term (the nth term) of the geometric sequence, 0.0004, -0.004, 0.04,…

A: Consider the given sequence 0.0004,-0.004,0.04,-0.4,...

Q: Find the indicated terms of the arithmetic sequence with the given description. The fourteenth term…

A: The nth term an of the Arithmetic Sequence with first term a and common difference d is given by an…

Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

Q: The sixth and eighth terms of an arithmetic sequence are -12 and -22. Find the fifteenth term. a15

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Q: The third term of a geometric sequence is 9, and the common ratio is 3/2 . Find the fifth term.

A: nth term of a geometric sequence  an = arn-1    a3 = 9 r = 3/2

Q: Find a formula for the nth term of the arithmetic sequence. a = 20, d = 7 an

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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…

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Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the 50th term…

A: The arithmetic sequence is a sequence in which the difference between two consecutive terms is a…

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: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = -0.6, a2 = -14…

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Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the 50th term…

A: Given, A1=4  d=8 n=50

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: 2, 10, 50, 250, .

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

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Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…

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Q: Determine if the sequence is arithmetic. If it is, find the common difference and the nth term. 3)…

A: An arithmetic sequence is a sequence where the difference between the elements in an order remain…

Q: Write a formula for the general term (the nth term) of the geometric sequence 1.5, -3, 6, -12, . . .…

A: Consider the given geometric sequence 1.5 , -3 , 6 , -12, ... Since the terms of the geometric…

Q: Find the first term and the common difference of the arithmetic sequence. Give a recursive for the…

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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: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Q: Write a formula for the general term (the nth term) of the geometric sequence, 12, 6, 3, 3/2, . . .…

A: Consider the following geometric sequence: 12, 6, 3, 32, ... First term of the sequence is 12. a=12…

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

A: topic - arithmetic sequence

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: 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: The sum of the first eight terms of an arithmetic sequence {an} is 24; the sixth term is 0. Find a…

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Q: - The nth term of an arithmetic sequence can be calculated with the formula a, = aj + (n – 1)d.…

A: NOTE: Refresh your page if you can't see any equations. . the arithmetic sequence is given by

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

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Q: Write a formula for the general term (the nth term) of the geometric sequence, 5, -1, 1/5, - 1/25, .…

A: Given: The geometric sequence 5,-1,15, -125... To determine: Seventh term of the sequence, a7.