Question

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)

Math   Precalculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
. A sequence { bn } is defined recursively bn= -bn-1/2, where b1 = 3. (a)...
. A sequence { bn } is defined recursively bn= -bn-1/2, where b1 = 3. (a) Find an explicit formula for the general term of the bn = f(n). (b) Is the sequence convergent or divergent? (c) Consider the series ∑ approaches infinity and n=1 bn.  Is this series convergent or divergent? (d) If it is convergent, find its sum
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) Write nth term suggested by pattern. 1, 1/4, 1/16, 1/64, ... 2) Find first term...
1) Write nth term suggested by pattern. 1, 1/4, 1/16, 1/64, ... 2) Find first term (a1), the common difference (d), and give a recursive formula (an) for sequence. 8th term is 55; 15th term is 118 3) Find the nth term and the indicated term of arithmetic sequence whose initial term and common difference are given. first term=6 common diff= -10 nth term? 13th term?
Find a general term (as a function of the variable n) for the sequence{?1,?2,?3,?4,…}={45,1625,64125,256625,…}{a1,a2,a3,a4,…}={45,1625,64125,256625,…}. Find a...
Find a general term (as a function of the variable n) for the sequence{?1,?2,?3,?4,…}={45,1625,64125,256625,…}{a1,a2,a3,a4,…}={45,1625,64125,256625,…}. Find a general term (as a function of the variable n) for the sequence {?1,?2,?3,?4,…}={4/5,16/25,64/125,256/625,…} an= Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. (If it diverges to infinity, state your answer as inf . If it diverges to negative infinity, state your answer as -inf . If it diverges without being infinity or negative infinity, state your answer...
a) Is the following a geometric series??? Why? b) If it is, determine if it is...
a) Is the following a geometric series??? Why? b) If it is, determine if it is convergent or divergent. Why? c) If it is convergent, find its sum; d) write the next three terms. 1/8 + 1/4 + 1/2 + 1...
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.
c.) Determine whether the seriesX∞ k=1 k(k^4 + 2k)/(3k 2 − 7k^5) is convergent or divergent....
c.) Determine whether the seriesX∞ k=1 k(k^4 + 2k)/(3k 2 − 7k^5) is convergent or divergent. If it is convergent, find the sum. d.) Determine whether the series X∞ n=1 n^2/(n^3 + 1) is convergent or divergent.
6. Let series {an} = 1/(n2 + 1) and series {bn} = 1/n2. Use Limit Comparison...
6. Let series {an} = 1/(n2 + 1) and series {bn} = 1/n2. Use Limit Comparison Test to determine if each series is convergent or divergent. 7. Use Ratio Test to determine if series {an}= (n + 2)/(2n + 7) where n is in interval [0, ∞] is convergent or divergent. Note: if the test is inconclusive, use n-th Term Test to answer the question. 8. Use Root Test to determine if series {an} = nn/3(1 + 2n) where n...
Determine whether the series is convergent or divergent. If it is convergent, find its sum. (a)...
Determine whether the series is convergent or divergent. If it is convergent, find its sum. (a) ∑_(n=1)^∞ (e2/2π)n (b) ∑_(n=1)^∞ 〖[(-0.2)〗n+(0.6)n-1]〗 (c) ∑_(k=0)^∞ (√2)-k
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT