Find r for the infinite geometric sequence. Determine whether the sum will converge. - 81, - 27, - 9, - 3, . (Type an integer or a simplified fraction.)

Q: Write the first five terms of the geometric sequence. a1 = 5,   r = 2

A:

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

A: We will use the given relation for writing first five terms of this geometric sequence.

Q: Write an equation for the nth term of the geometric sequence: 18, -12, 8, 16 32 3¹9

A: Given a geometric sequence.

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: Find the indicated term for the arithmetic sequence with first term, a,, and common difference, d.…

A:

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

A: Geometric sequence is an ordered list of numbers where each term after the term is founded by…

Q: Write the first six terms of the arithmetic sequence a1 = -7, d = 4.

A: Given arithmetic sequence in which a1=-7 and d=4. To find: The first six terms of the arithmetic…

Q: Write the first five terms of the geometric sequence.

A: a1=12,  r=12 Now, a2=a1·r=12·12=14 a3=a1·r2=12·122=18 a4=a1·r3=12·123=116 a5=a1·r4=12·124=132

Q: tell whether the sequence is arithmetic. * 0, -4, -8, -12, -16, ...

A: Given: A following sequence is given 0, -4, -8, -12, -16, ... To Find: To check the given sequence…

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

A:

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 first six terms of the arithmetic sequence: an = an-1 -10, a1 =30

A: The given sequence is an=an-1-10 And first term is a1=30. Since, first term is given, so we have to…

Q: Given an arithmetic sequence-11, 2, 15,…, if T(m) is the first term that exceeds 200, find the value…

A: We know, the mth term of an arithmetic sequence is  am = a+(m-1)·d where a = first term of the…

Q: Write the first five terms of the arithmetic sequence. a 1 = 13; d = -4 9, 5, 1, -3, -7 13, 9, 5, 1,…

A: Given,

Q: Write the first six terms of the arithmetic sequence: an = an-1 -0.3, a1 =-1.7

A: To write the first six terms of the arithmetic sequence an=an-1-0.3,a1=-1.7

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

A: Given a1=400,d=40. We find first six terms of the arithmetic sequence with given first term a1 and…

Q: Write the first six terms of the arithmetic sequence with the given first term, a1 and common…

A: Solve the following

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

A:

Q: Write the first five terms of the geometric sequence. an =-6an-1, a, = -2 a1 a2 = ag =- a5

A:

Q: Write the first five terms of the geometric sequence a1 = 3, r = 2.

A: For the given geometric sequence: a1=3,r=2 We know,nth term of a geometric sequence is given by:…

Q: Find the common difference d for the arithmetic sequence. 8,3,-2, -7, ..

A: The given sequence is: 8,3,-2,-7,...

Q: A. Determine if the sequence is arithmetic. If it is, find the common difference. 1) 35, 32, 29, 26,…

A: NOTE-Since you have posted a question with multiple sub-parts, we will solve first three subparts…

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 six terms of the arithmetic sequence an = an-1 - 0.3, a1 = -1.7.

A: Substitute –1.7 for a1 and 2 for n in the given recursion formula and Obtain the second term of the…

Q: Write the first six terms of the arithmetic sequence .

A: Given, a1=34,d=-14

Q: Write the first six terms of the arithmetic sequence: a1 = -7, d = 4

A: Given: a1=-7,d=4

Q: An arithmetic sequence has terms as = 14 and a11 = 35. Find a1. a. -35 b. 4 с. -12 d. е. -28

A:

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

A: Given : an = -5an-1, a1 = -6. we have to write the first five terms of the geometric sequence.

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

A: It is given that, The nth term of the sequence is an=-5an-1 and first term is a1=-6

Q: Find the common difference d for the arithmetic sequence 4, 5, 6, 7,...

A: The arithmetic series is given as 4, 5, 6, 7...

Q: Find the sum of the arithmetic sequence, Sn- 5, 10, 15, 20,..., 125

A:

Q: Find r for the infinite geometric sequence. Determine whether the sum will converge. -24, -12, -6,…

A: -24 , -12 , -6 , -3 , .....

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

A:

Q: Write the first six terms of the arithmetic sequence an = an-1 - 10, a1 = 30.

A: first, six terms will be a1, a2, a3, a4, a5, a6 we already have a1 = 30. and It is given that an =…

Q: Find the indicated term of the arithmetic sequence with first term, a1, and common difference, d.…

A: Given that a1=-32d=4

Q: Write the first six terms of the arithmetic sequence: an = an-1 -0.4, a1 =1.6

A: We have to write first six terms of the arithmetic sequence where an=an-1-0.4 and first term a1=1.6.…

Q: Write the first six terms of the arithmetic sequence a1 = -8, d = 5.

A: Given:          first term a1=-8common difference d=5 The general terms of arithmetic sequence is…

Q: both questions

A: If a1 is the first term of arithmetic sequence and d is common difference, then n th term of…

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

A:

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. a 1 =  -5; r = -3

A: We can find the first five terms as below.

Q: Find the 10th term of the arithmetic sequence. 2, - 4, - 10, - 16, ... The 10th term is

A: Given : 2, -4, -10, -16

Q: Write the first six terms of the arithmetic sequence an = an-1 - 0.4, a1 = 1.6.

A: We have given recurrence relation between terms of arithmetic sequence an=an-1-0.4 and a1=1.6 We…

Q: Write the first six terms of the geometric sequence with the first term, a1, and common ratio, r. a1…

A:

Q: Write the first five terms of the geometric sequence: a1 = 3, r = 2

A: It is given that a1 = 3, r = 2   formula used: nth terms of the geometric sequence is an=a1rn-1

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

A: we have to find a2 and a3 for the geometric sequence 2, a2, a3, -54.

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: Write the first five terms of the geometric sequence an = -6an-1, a1 = -2.

A: Given: The geometric sequence an=-6an-1,  a1=-2 . The second term of the G.P can be calculated as,…