5. (a) What is a geometric sequence? Write an expression for the nth term of a geometric sequence that has first term a and common ratio r. (b) Write an expression for the geometric sequence with first term a = 3 and common ratio r =. Give the first five terms of this sequence. (c) Write an expression for the sum of the first n terms of a geometric sequence. (d) Find the sum of the first five terms of the sequence in part (b).

Q: Find 65th term of the arithmetic sequence with first term 5 and common difference -1/2

A:

Q: 5. What is meant by the index of a term of a sequence?

A:

Q: 1. The first term of an arithmetic sequence is 5. The eleventh term is 125. What is the common…

A: GivenFirst term of arithmetic sequence 'a' = 5Eleventh term of arithemetic sequece 'T_11' = 125

Q: Find the common difference and the sum of the first 5 terms of the arithmetic sequence. an = 5n – 2

A:

Q: Find the 65th term of the arithmetic sequence with first term 3 and common difference -1/2 (negative…

A:

Q: A geometric sequence whose first term = 2 and whose sixth term = 64, i) find the first six terms ii)…

A: The nth term of a geometric progression or a geometric sequence with first term and common ratio r…

Q: Find the 73rd term of the arithmetic sequence with first term 1 and common difference − 1 2 .

A:

Q: た 2 白 Find the sum of the indicated number of terms of the geometric sequence. -4, 12, -36, ...; n =…

A: Consider the given series.

Q: 41. Find the sum of the first 70 terms of the arithmetic sequence with first term 10 and common…

A: "The student ask for the question number 41, so I am solving the question number 41." Given that,…

Q: A. Write the first five terms of the sequence with the fırst term 2 and a common difference of 3. B.…

A: Given A). a1=2  and d=3 b). a1=3 and common ratio (r)=-4

Q: bus travels 250m in the first minute, 500m in the second minute, 1000m in the third minute and so on…

A:

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r = 2.

A:

Q: What is a sequence? What notation do we use to denote the terms of a sequence?

A:

Q: ind the 85th term of the arithmetic sequence with first term 1 and common difference -1/2

A: As we know that the expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where 'a'…

Q: An arithmetic sequence is a sequence in which each term after the first differs from the preceding…

A: Given That: Definition of Arithmetic sequence.

Q: Which geometric sequence has a first term equal to 55 and a common ratio of -5?

A:

Q: How do I work out the nth term for a non-linear sequence?

A: The non - linear sequences are which having not same common difference.  First we calculate the…

Q: What is the 12th term in the geometric sequence -9,27,-81...? A) -531441 B) 1594323 C) -4782969 D)…

A: The geometric sequence is given by -9, 27,-81,········ To evaluate : The 12th term in the geometric…

Q: Find the explicit formula for the general nth term of the geometric sequence described below.…

A:

Q: 3. Find the sum of the first 10 terms of the geometric sequence: 7,-14, 28, -56,. 3. 4. Find the sum…

A:

Q: Find the indicated term of the geometric sequence. 3. 7th term of 3, 3 5 25 ... Enter the 7th term…

A:

Q: 6.1 Find the hundredth term of the arithmetic sequence with the first term 2 And ninth term 18

A:

Q: 3. The 3rd term of a geometric sequence is 12 and the 7th term is 192. Determine the 13th term.

A:

Q: Find the indicated term of the geometric sequence whose initial term and common ratio are given.…

A:

Q: The median of the first five terms of a geometric sequence is 4. The ratio of the first term to the…

A: Let the terms of the GP be a,ar,ar^2,ar^3..

Q: 4 Chose the formula for the nth term of the Geometric Sequence: 6, 4, 4, 10

A:

Q: Find the specified term of the geometric sequence. 7th term: 5, 30, 180, ... a,

A:

Q: Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the…

A: Given: The geometric sequence,  2, 22, 242, ... To find: The formula for the nth term of the…

Q: 6. Find the first 4 terms and the 12th term of the geometric sequence: a, =100,000 and r = -0.2 ɑ1 =…

A:

Q: 4 Find the sum of the first 3 terms of a geometric sequence with a = 18 and r= 3 The sum is

A:

Q: Write an expression that gives the requested sum. (a) The sum of the first 18 terms of the…

A:

Q: Find the 75th term of the arithmetic sequence with first term 2 and common difference -1/2.

A:

Q: Write down the first five terms of the geometric sequence which has first term 1 and common ratio ½.

A: First term = a = 1 Common ratio = r = 1/2

Q: An arithmetic sequence is a sequence in which the___between successive terms is constant.

A: An arithmetic sequence is a sequence in which  the difference between successive terms is…

Q: Find the sum of the first n terms of the geometric sequence with the given values. a, = 320, r= k --…

A: Given: a1=320r=-k2n=10 Also, the sum of  first n terms of the geometric sequence for negative value,…

Q: 12. Given that the 5th and 11th terms of an Arithmetic Sequence are 26 and -16, respectively,…

A:

Q: 8. An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to - 1. Calculate…

A:

Q: ind the 14th term of the geometric sequence 10, 40, 160,

A:

Q: What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64? 1)…

A:

Q: B. Determine if the pattern illustrates Geometric Sequence or Arithmetic Sequence 1. 3,8, 13, 23,.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5. The first term of an arithmetic sequence is 12, the last term is 120 and sum of the terms of the…

A:

Q: 24 Use a graphing calculator to find the first 10 terms of the sequence an = n its 9th term is its…

A: We have to find

Q: What is the 20th term in the sequence defined by an = 5 + 3 ( n - 1)

A: Given query is to find the 20th term.

Q: A) Find the sum of the first fifteen term of arithmetic sequence with first term 20 and common…

A:

Q: Find the sum of the first 60 terms of the arithmetic sequence with third term 10 and eighth term 25

A: Let, first term is a, And the common difference is d. Sum of first 60 term =(60/2)(2a+59d)…

Q: Find the indicated term of the geometric sequence whose initial term and common ratio are given.…

A: Topic - geometric serquence Note : as per bartleby Guidelines, we are supposed to answer only first…

Q: What are the first five terms of a geometric sequence with a = 3 and r = 2?

A:

Q: Determine the sum of the first five terms of the geometric sequence where a = 3 and r=2. ... The sum…

A: The formula to evaluate the sum of n terms of a geometric sequence is Sn=arn-1r-1, if r≠1, where a…

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r= -1. The sum…

A:

Q: Write the first 5 terms of Geometric sequence whose nth term is an = 6(1/2)n-

A: We will solve the problem