Question

The first difference of a sequence is the arithmetic sequence 1, 3, 5, 7, 9, .......

The first difference of a sequence is the arithmetic sequence 1, 3, 5, 7, 9, .... Find the first six terms of the original sequence in each of the following cases.

a. The first term of the original sequence is 2.

b. The sum of the first two terms in the original sequence is 9.

c. The fifth term in the original sequence is 32.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For an arithmetic sequence, a34=20. If the common difference is -5, find: First term: Sum of...
For an arithmetic sequence, a34=20. If the common difference is -5, find: First term: Sum of first 66 terms:
1. Write the explicit rules for the following sequences: A) 1/2, 2/5, 3/10, 4/17, 5/26, 6/37,........
1. Write the explicit rules for the following sequences: A) 1/2, 2/5, 3/10, 4/17, 5/26, 6/37,..... B) 3, -5/1, 7/6, 9/24, 11/120,... 2. Given two terms of the arithmetic sequence find the common difference, the first term, and the explicit formula ( a subscript n) a) a subscript 17= 105 a subscript 40 = -30 b) a subscript 10 a subscript 40= 100 b)
The sum of the first 14 terms of an arithmetic sequence of real numbers is 20...
The sum of the first 14 terms of an arithmetic sequence of real numbers is 20 and the sum of the next 20 terms is 14. Find the largest positive integer K for which the sum of the first K terms of this sequence is positive.
1 .Answer the following questions about the arithmetic sequence 2, 5, 8, 11, .... . Find...
1 .Answer the following questions about the arithmetic sequence 2, 5, 8, 11, .... . Find n if the series 2 + 5 + 8 + 11 + ⋯ + 119 = 2420. 2. Answer the following questions about the geometric sequence 3, 12, 48, 192. Which term in the sequence is 12288? 3. Find the sum of the series 106 + 103 + 100 + 97 + ⋯ − 41. 4.Find S7 and S∞ for the series 6 +...
1) The twelfth term of an arithmetic sequence is 118, and the eighth term is 146....
1) The twelfth term of an arithmetic sequence is 118, and the eighth term is 146. Find the nth term. (3 points) 2) A partial sum of a geometric sequence is given. Find the sum. (3 points) 3) Determine wether the given infinite geometric series is convergent or divergent. If the series is convergent, then find its sum. (4 points) a)   b)
Given two terms in an arithmetic sequence find the common difference, the 52nd term, and the...
Given two terms in an arithmetic sequence find the common difference, the 52nd term, and the explicit formula. a11 = - 325 and a39 = - 1165
Write a recursive formula for an arithmetic sequence whose 4th term is 5 and whose 7th...
Write a recursive formula for an arithmetic sequence whose 4th term is 5 and whose 7th term is -22. a)a↓1=32, a↓n=a↓n-1-9 b)a↓1=32, a↓n=a↓n-1-27 c)a↓1=56, a↓n=a↓n-1-17 d)a↓1=5, a↓n=a↓n-1-22
We are given a sequence of numbers: 1, 3, 5, 7, 9, . . . and...
We are given a sequence of numbers: 1, 3, 5, 7, 9, . . . and want to prove that the closed formula for the sequence is an = 2n – 1.          What would the next number in the sequence be? What is the recursive formula for the sequence? Is the closed formula true for a1? What about a2? What about a3? Critical Thinking How many values would we have to check before we could be sure that the...
For the sequence 8x + 4, 7x + 3, 6x + 2, 5x +1, ... ,...
For the sequence 8x + 4, 7x + 3, 6x + 2, 5x +1, ... , a. Identify the next 3 terms. b. Is the sequence arithmetic or geometric? How do you know? c. Find the explicit and recursive formulae for this sequence. d. Write out the sum formula for the first 20 terms and evaluate. e. Write your process to part (d) in Sigma Notation.
Translate the following phrases into algebraic​ expressions: a. The 9th term of an arithmetic sequence whose...
Translate the following phrases into algebraic​ expressions: a. The 9th term of an arithmetic sequence whose first term is 10 and whose difference is d b. 9 less than twice a number c. 9 times the square of a number d. The difference between the cube of a number and twice the number
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT