14. 1,3,9, Type of Sequence: General Form:

Q: Find the sixth term of a geometric sequence whose second term is 3 and whose fourth term is 1/3.…

A: Now dividing equation (2) by equation (1), we get Therefore sixth term is,

Q: 3 (3,-6, 12,- 24, 48, ...} Common Type of Sequence Difference/Ratio

A: A sequence of numbers is called a Geometric progression if the ratio of any two consecutive terms is…

Q: 7. In the sequence 20, 14, 8.e which term has a value of -70?

A: Given, 20,14,8..... The series is arthematic because constant difference Formula: Arthematic nth…

Q: 2. Which sequence has a common difference of -8? {1, -8, 64, -512, 4,096, ..} {536, 528, 520, 512,…

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Q: Determine the first six terms of the sequence defined by t₁ = -5 and t = -3t-1 + 8. -5, 23, -61,…

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Q: the first four terms of the sequence given by the followir a, = 7(2)", n=1, 2, 3... %3D ППП

A:

Q: Ag = 31 %3D %3D

A: Nth term of an AP is  an=a + (n-1)d Where a is first term , n is the term and d is common difference…

Q: 9. Find the partial sum of arithmetic sequence of 25 terms starting with 5, 10, 15, 20,... 10. When…

A:

Q: a1, a2, a3, . be a geometric seq is also a geometric sequence by that af, a3, až, (a) Σ (1- ). (Φ)…

A: Given ∑n=15(1-n2)

Q: 2. Find the nth term of the sequences below: а. 3, -5, 7,- 9, 11, b. О, 2, 6, 12, 20, . с. 99, 199,…

A: Topic:- series  Note:- as per our guideline if more than three subparts of a question uploaded than…

Q: 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term. 3. Php…

A: given

Q: What is the degree of the sequence 5, 4, 6, 11, 19, 30 ...? A degree of 1 B degree of 2 degree of 3…

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Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: How would you classify the sequence 28, 21,15, 10,6, ....? .......

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Q: Write a rule for the n th term of the sequence for which a =3 andr Identify the first six terms of…

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Q: 6. Determine if the sequence is geometnc. DRHIS,find the comman fatio. an-1,3,-1.. ماتوقو

A: Given: 27,-9,3,-1,..............

Q: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D

A: A sequence is a function which domain being the set of natural numbers and the range being the set…

Q: What is the 8th term of the sequence whose ?th term is defined as ?? = (−1)^n(3n-2)

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Q: What will be the sequence generated by the generating function 3x/(1-x)2?     a) 9, 12, 15, 18,……

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Q: 8. Find the number of terms of the finite arithmetic sequence {7, 16, 25, 34, ...,574}. Make sure to…

A: Explained below

Q: 3. What is the general term of the sequence: 5, 15, 45, 135, 405, ... a. t₁ = 3(15) b. t₁ = 3(5)n-1…

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Q: me sequence whose nth term is

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Q: What are the next three terms of the geometric sequence 4, 24, 144, ... ? O 864, 3,456, 13,824 864,…

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Q: What is the 11th term of the geometric sequence −1.5, −3, −6, −12, ...

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Q: It is a term between any two nonconsecutive terms of a geometric sequence. O common difference O…

A: Let's find.

Q: 00 are: The five first terms of the sequence {4n – 1},-1 O3 O 3+7+11+15+ 19... O 3,7,11,15,19,... O…

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Q: Determine whether the sequence with  an = n*e-n for n = 1, 2, 3, . . . is increasing, decreasing,…

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Q: Which sequence could be described by the first term: Aj = 1 and the recursive (an)² + 1 definition:…

A: Given, an+1=an2+1 a1=1

Q: It is a sequence where every term after the first is obtained by multiplying a non-zero constant. O…

A: To tell which is the sequence where every term after the first is obtained by multiplying a non-zero…

Q: b) (x-y),X, (x+y)

A: The given sequence is (x-y),x,(x+y)......................

Q: What will be the sum of arithemetic sequence with first term a1=1 and second term a2=24

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Q: An arithmetice sequence has first term a =1 and fourth term ag = 16. How many terms of this sequence…

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Q: 10. a, = 6, ant1 an

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Q: 17. Determine the next 3 terms in the sequence: 22, 31, 40, 49, 58, ... O 67, 76,85 O64, 70, 76 60,…

A: given sequence is :22,31,40,49,58,... their same distance in all number  d=31-22=40-31=9 d=9

Q: how that the sequence (1 – (-1)" +1/n) is divergen

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Q: 3.Find the rule for the Geometric Sequence: 4,12,36,108.......2916

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Q: The first four terms of the sequence defined by an пап 1+ п'а, 2, @о — 3, а, — 4 are %3D aо — 3, ај…

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Q: {3, 6, 12, 24, 48, 96, 192 } How do I find the explicit formula for this sequence?

A: Given sequence is 3,6,12,24,48,96,192 To find the explicit formula. Solution: Here, we have a1=3…

Q: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…

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Q: th Find the 70 term of the following arithmetic sequence. 8, 15, 22, 29, ...

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Q: 2) 2, 4, 64, 128

A: Given geometric sequence is 2, 4,__, __,__64, 128

Q: Which sequence could be described by the recursive definition: An+1 = 3 · a,n – 1? – 1? - {2, 5, 14,…

A: Given an+1=3·an-1 we have to find a sequence which could be describes as recursive

Q: 5. Make up a sequence that have (a) 3, 3, 3, 3, ... as its second differences. (b) 1, 2, 3, 4, 5,…

A: Here, the objective is to find the following: a) 3, 3, 3, 3, .... as its second difference. b)1, 2,…

Q: Which sequence represents an arithmetic sequence? OF 16, 11 6, 1, ... O G. 5,-10, 20, -40, ... O H.…

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Q: 6. When a, = n(-1)", determine whether the sequence {a„} is increasing, %3D decreasing, or not…

A: We have been given the sequence an=n(-1)n

Q: 7. How many terms are there in the sequence 1,4,7,10,...,682?

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Q: Which sequence could described by the explicit definition: t, = 2· n - 3? {5, 7, 11, 19, 35, ...} O…

A: Given, tn=2·n-3we have to tell which sequence could described by the explicit definition:

Q: What is meant by common difference of the sequence?

A: Common difference of the sequence:

Q: 1. What is the ninth term of a harmonic sequence if the first three terms are 111 2'6'10 2. Find the…

A: This is the problem of counting and series and finite math.

Q: - Describe four different rules for determining the next entries in the sequence that follows. Give…

A: Given, 5, 7, 11, . . .