What is  the differences between a sequence and a series?

Q: How do you determine if an infinite geometric series has a sum? Explain how to find the sum of such…

A: In geometric series, the common ratio is equal. The standard term of geometric series is an=arn-1.…

Q: The first term is 3500, and the common difference is 15. Which term of the sequence is 2795?

A:

Q: What is the difference between an infinite sequence and an infinite series?

A: Solution: Infinite Sequence: An infinite sequence of numbers is an ordered list of numbers with an…

Q: Clarify the differences between a sequence and a series?

A: Sequence is an array of numbers arranged according to a certain rule. For example,

Q: If the 8th term of an arithmetic series 39 and the 20th term is -33. What is the common difference?

A:

Q: Find OF the Formula For the nth term Sequence: 0, 1,3, 6, 10,15,21,28,36, 45,55, 66,78,91,105,...

A: now in this question, we have to find the nth term of the sequence using given data.

Q: What is the difference between a sequence and a series?

A: write the difference between sequence and series

Q: find a formula for the nth term of the sequence. 1, -1, 1, -1, 1,....

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Q: The third term of the arithmetic sequence is 72 and the number of the third term with the fifth term…

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Q: Find with explanation, a diginacci sequence that has no term equal to 11

A: Consider the given explanation. A diginacci sequence is defined as. The first two terms are any…

Q: Find the sum of the first 8 terms of the sequence defined by a, = 4- 3"-1

A:

Q: What is the 7th term of the geometric sequence defined by the rulean = -3(2)^n-1 ?

A: What is the 7th term of the geometric sequence

Q: Identify the explicit formula for the nth term of the sequence written below.   10, −50, 1000/3,…

A: The explicit formula is the formula that can give any term of the sequence upon inserting the…

Q: Find the sum of an infinite geometric series in which aj = 34 and r = -0.05. Round to the nearest…

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Q: The first term of a geometric sequence is 8, the second term is 24, & the 3rd term is 72. What is…

A: We have to find the sum of the first 12 terms of the geometric sequence where first term is 8,…

Q: 3 What is the sum of the geometric series

A:

Q: If the common difference of an Arithmetic series is 6 and the 4th term is 10, what is the value of…

A: Sol

Q: what is the 7th geometric sequence where the first term is 4 the common ratio is 3

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Q: Evaluate the series for the sequence:

A: Given,        5, - 10, 20, - 40, . . .  and       n = 17

Q: Find the sum, if it exists, of the infinite geometric series that is related to the infinite…

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Q: Find the sum of the first 100 terms in the arithmetic series 1+2+ 3+4 + ... + 100.

A: To find the sum of first 100 terms of given arithmetic  series.

Q: What is the difference between a geometric sum and a geometric series?

A: Difference between a geometric sum and geometric series.

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

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Q: Find the sum of the first 20 terms of the arithmetic series: 6 + 3 + 0 - 3 - 6 - . . .

A:

Q: Consider the sequence {5,7.5,11.25,...}. What is the sum of the first 10 terms of the series? Round…

A: Sum of Geometric sequence The formula of the first n terms of a geometric sequence is Sn=a1(1-rn)1-r…

Q: What is the sum of the k terms of the series 5+ 10 +20+40+ ?

A: Given,          The sum of the series 5+10+20+40+.....We know that,          The sum of the series…

Q: Find the common ratio of the geometric sequence: {2, – 10, 50, – 250, 1250, ...} -

A: Topic - sequence and series r = common ratio r = an+1/an

Q: how do you solve series and sequence questions? Explain in words.

A: Solution: for sequence and series , 1st you should know about the sequence Because sequence:…

Q: Explain how to solve the sum of geometric series

A: We will find out the required value.

Q: Please propose a formula for the elements of the following sequence a, which begins: 1, 3, 5, 7, .

A:

Q: What is the difference between a geometric sequence and an infinite geometric series?

A: Given: Geometric sequence and an infinite geometric series

Q: Find the 24th term of the arithmetic sequence if the first term is 3 and common ratio is 2.

A: First term =  a1 = 3  Common ratio = r = 2  We have to find a24 .

Q: what would the sum be of the first 10 numbers in that series

A: Let's find sum of the series.

Q: Provide a thorough explanation as to how the artwork exemplifies or uses a mathematical sequence or…

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Q: Find the sum of the infinite geometric series (if it has one): 11 36+24 +16+...

A: An infinite geometric series a,ar,ar^2,ar^3,........ has finite sum , if common ratio r<1 In…

Q: Find the 8th term of a geometric sequence where the second term is 6 and the common ratio is 2. *

A:

Q: 10

A:

Q: The sum of the first five terms of the arithmetic sequence is -5 and the sixth term is -10. The sum…

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Q: Briefly describe the difference between a sequence and a series.

A: Let us find out how a sequence can be differentiated from series.

Q: What happens to the terms of a geometric sequence when the common ratio is negative?

A: Common ratio of a geometric progression is defined as the ratio of a term with its preceding term.

Q: Find the sum of the first 20 terms of the arithmetic series if a, = 5 and a,0 = 62 '20

A: The first term of the arithmetic series is a1=5 and 20th term of the series is a20=62. Evaluate d…

Q: What is the common ratio of the geometric sequence 10, 20, 40, 80, 160?

A: Common ratio is the constant factor between consecutive terms of a geometric sequence. To find…

Q: What is the fourth term for the sequence whose nth term is: www n(n 1)! H

A: Given query is to find the fourth term of the sequence.

Q: What is the 6th term of the sequence defined below n =r+4.50 n-1 Solving a Sequence or Series?…

A: We are given a sequence as: r1 =7   and rn =rn-1 + 4.50 We need to find out a. the 6th term of the…

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

A: Common difference of the sequence:

Q: What are the first three terms of the sequence given that the nth-term formula is an=n/(n+1).

A: Given, nth-term of sequence is an=nn+1  find first three terms of the sequence-