Find the nth term of the geometric sequence. -4, 20, -100,... an

Q: What is the 2th term of the sequence defined below? = r 'n-1 +6.30

A: The given sequence is defined by r1=9 and rn=rn-1+6.30 So r2=r1+6.30…

Q: Write a formula for the nth term of the geometric sequence 5,4, 16 64 ' 5 '125 ....

A: Topic = Geometric Series As per guidelines , At a time only one question can be answered out of…

Q: Determine the common ratio, the 6th term and the nth term of the geometric sequence: 4, 12, 36, 108,…

A:

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

A: We know that nth term of geometric sequence is, an=a1rn-1 Where a1 is the first term and r is a…

Q: Determine whether each sequence is finite or infinite. For the finite, give the last term. For the…

A: Given series is 3,-1,-4,-6,-7The given series is finite , that means there exists a lastterm.In…

Q: Find the missing terms of the sequence and determine if the sequence is arithmetic,

A: Sequence is said to be geometric when it has common ratio and arithmetic when it has common…

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

A:

Q: Write the first five terms of the geometric sequence a1 = 5, r = 3.

A:

Q: Find the nth term of the arithmetic sequence with given first term a and common difference d. What…

A: By using arithmetic sequence formula, we calculate the required term.

Q: Write an expression that gives the requested term. The 16th term of the geometric sequence with…

A: To determine the 16th term of the series.

Q: Find the sum cf the first 50 terms of the arithmetic sequence below. - 13, -6, 1, 8, The sum is

A: We have to find the sum

Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

A:

Q: Which of the following is NOT a geometric sequence? О5, 20, 45, 80, O4, – 12, 48, – 144, ... 08, 40,…

A: we know that if the sequence is in Geomentric sequence that is a1,a2,a3,a4,.....than the ratios that…

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: Find the nth term of the geometric sequence with given first term a and common ratio r. a = -2, r =…

A:

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 nth term of the arithmetic sequence with given first term a and common difference d. What…

A:

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: write the first five terms of the geometric sequence a, =1, r=Ź %3D

A:

Q: Write the first five terms of the geometric sequence. a, = 9an - 1, a1 = 1 a1

A: Given an=-9an-1,a1=1Put n=2a2=-9a2-1a2=-9a1a2=-9*1a2=-9.Put n=2a3=-9a3-1a3=-9a2a3=-9*(-9)a3=81.Put…

Q: Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

A: A geometric sequence is the one in which ratio of two consecutive terms is same and that ratio is…

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

A:

Q: Find the nth term of the geometric sequence with given first term a and common ratio r. a = 9, r= 6…

A:

Q: Write the first five terms of the geometric sequence with the given first term, a,, and common…

A: Solution :-

Q: Write a formula for the general term (the nth term) of the geometric sequence, 3, 12, 48, 192,…

A: For a G p  , a,ar ,ar2, . . . arn-1  General term is arn-1                    [a=first term  , r =…

Q: Find the nth term of the geometric sequence with given first term a and common ratio r. a = -5, r=…

A:

Q: Write the first five terms of the geometric sequence. an = 5an-1; a1 = 4

A: Fro the given problem: an=5an-1  And a1=4 So, The 2nd term is: an=5an-1    a2=5a2-1a2=5a1a2=54=20

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 8 a 3, r = - Question Help: D…

A:

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

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

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 the first six terms of the arithmetic sequence shown below. an = an - 1-9, a, = 28 .. a1

A:

Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: Sequence is,  {5, 1, 0.2, 0.04, ....... }    Hence,  Ratio of T2 and T1  =  1/5  Ratio of T3 and T2…

Q: Use the graph to identify the common ratio of the geometric sequence. 15 10 -5

A: Answer

Q: Write the first six terms of the arithmetic sequence shown below. an = an-1+7, a, = -8

A:

Q: Write the first five terms of the geometric sequence. an = - 5an - 1, a1 = - 6 a1 II

A:

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

A: Given information: The geometric sequence is 0.0007, -0.007, 0.07, -0.7,......... Concept used: The…

Q: Find the 5h term of the geometric sequence: – 2, – 6, – 18, ... a5 Preview

A: Solving

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 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 the nth term of the arithmetic sequence with given first term a and common difference d. What…

A: The answer is found in step-2

Q: Find a2 and a3 for the geometric sequence, 2, a2, a3, -54.

A: Consider the following geometric sequence: 2,a2,a3,-54 Common ration=a22=a3a2=-54a3 a22=2a3a24=4a32…

Q: Which explicit formula describes the geometric sequence {,,7 }? ) an= + (n-1)(좋) (중)까-1 n-1 an =…

A:

Q: Find the nth term of the geometric sequence with given first term a and common ratio r. a = 9, r= 6…

A: The nth term is, an = arn-1 = 9•6n-1

Q: Find the nth term of the arithmetic sequence with given first term a and common difference d. What…

A: The first term of the AP is  a = -0.5 Common difference of the AP is d = -0.4 To evaluate : The…

Q: Write the first 6 terms of the arithmetic sequence with the given properties. a=5 d=3

A: Need to find first 6 term.of AP