Question:

Consider the series Σ1/n (a) Does the sequence {an} = 1/n

Last updated: 7/26/2022

Consider the series Σ1/n (a) Does the sequence {an} = 1/n

Consider the series Σ1/n (a) Does the sequence {an} = 1/n converge or diverge? (b) Does this series converge or diverge? (c) How many terms are required for the sum to exceed 50? Show work used to find this value.

New Questions on Sequences & Series
View all
photograph What is special about A They are consecutive terms in the Fibonacci sequence B The value of the 13th term of the pyramidal sequence is 21 C The value of the 13th term of the Fibonacci sequence is 21 D They are consecutive terms in the pyramidal sequence O
Math
Sequences & Series
photograph What is special about A They are consecutive terms in the Fibonacci sequence B The value of the 13th term of the pyramidal sequence is 21 C The value of the 13th term of the Fibonacci sequence is 21 D They are consecutive terms in the pyramidal sequence O
SEQUENCES b Describe the domain and the range of the sequence SEQUENCES Post Te
Math
Sequences & Series
SEQUENCES b Describe the domain and the range of the sequence SEQUENCES Post Te
Penn stacks all of his snowballs in a square pyramid The number of snowballs P n in n layers of the square pyramid is given b P n P n 1 n Which could not be the number of snowballs Penn has OA 5 OB 14 O C 30 OD 25
Math
Sequences & Series
Penn stacks all of his snowballs in a square pyramid The number of snowballs P n in n layers of the square pyramid is given b P n P n 1 n Which could not be the number of snowballs Penn has OA 5 OB 14 O C 30 OD 25
The first term in a sequence is 18 and each term after the first is 4 times the preceding term Which of the following recursive functions defines the sequence described above A B C D f 1 18 f n 4f n 1 n 1 f 1 18 f n 4 f n 1 n 1 1 18 f n 4f n 1 n 1 f 1 18 f n 4 f n 1 n 1
Math
Sequences & Series
The first term in a sequence is 18 and each term after the first is 4 times the preceding term Which of the following recursive functions defines the sequence described above A B C D f 1 18 f n 4f n 1 n 1 f 1 18 f n 4 f n 1 n 1 1 18 f n 4f n 1 n 1 f 1 18 f n 4 f n 1 n 1
Two large numbers of the Fibonacci sequence are F 49 7 778 742 049 and A 50 12 586 269 025 If these two numbers are added together what number results O A F 51 O B F 99 O C F 52 OD F 54
Math
Sequences & Series
Two large numbers of the Fibonacci sequence are F 49 7 778 742 049 and A 50 12 586 269 025 If these two numbers are added together what number results O A F 51 O B F 99 O C F 52 OD F 54
Ezra is training for a track race He starts by sprinting 100 yards He graduall increases his distance adding 5 yards a day for 21 days The explicit formula that models this situation is an 100 n 1 5 How far does he sprint on day 21 OA 200 yards OB 100 yards OC 225 yards D 205 yards
Math
Sequences & Series
Ezra is training for a track race He starts by sprinting 100 yards He graduall increases his distance adding 5 yards a day for 21 days The explicit formula that models this situation is an 100 n 1 5 How far does he sprint on day 21 OA 200 yards OB 100 yards OC 225 yards D 205 yards
am and Drew decide to mow lawns during their summer break with different companies am gets a flat 15 00 every day plus 8 00 for every yard he mows Drew gets paid 5 00 daily plus 6 00 for each yard he mows When will they have mowed the same mber of yards and earned the same amount How much will they have earned
Math
Sequences & Series
am and Drew decide to mow lawns during their summer break with different companies am gets a flat 15 00 every day plus 8 00 for every yard he mows Drew gets paid 5 00 daily plus 6 00 for each yard he mows When will they have mowed the same mber of yards and earned the same amount How much will they have earned
829 Exercises 10 16 write the first four of each sequence whose general term is given 1 a 3n 2 2 a 4n 1 3 An 3n 4 An 5 An 6 An 7 An 8 An 9 an 10 An 11 1 3 3 n 1 3 1 n 3 1 n n 4 2n n n 4 3n n n 5 1 1
Math
Sequences & Series
829 Exercises 10 16 write the first four of each sequence whose general term is given 1 a 3n 2 2 a 4n 1 3 An 3n 4 An 5 An 6 An 7 An 8 An 9 an 10 An 11 1 3 3 n 1 3 1 n 3 1 n n 4 2n n n 4 3n n n 5 1 1
Find the sum A wildlife refuge currently has 100 deer in it A local wildlife society decides to add an additional 2 deer each month It is already known that the deer population is growing 12 per year The size of the population is given by the recursively defined sequence Po 100 Pn 1 01pn 1 2 How many deer are approximately in the wildlife refuge at the end of the second month That is what is p 2 O1060 deer 109 deer 106 deer O111 deer
Math
Sequences & Series
Find the sum A wildlife refuge currently has 100 deer in it A local wildlife society decides to add an additional 2 deer each month It is already known that the deer population is growing 12 per year The size of the population is given by the recursively defined sequence Po 100 Pn 1 01pn 1 2 How many deer are approximately in the wildlife refuge at the end of the second month That is what is p 2 O1060 deer 109 deer 106 deer O111 deer
3 A grocery store worker has to collect all the shopping carts left out in the parking lot He collects 4 carts and measures the length of the 4 carts he is pushing to be 51 inches He collects another cart for a total of 5 carts and measures the length of the 5 carts to be 57 inches a He sees that there are a total of 21 carts in the parking lot How long will the line of 21 carts be
Math
Sequences & Series
3 A grocery store worker has to collect all the shopping carts left out in the parking lot He collects 4 carts and measures the length of the 4 carts he is pushing to be 51 inches He collects another cart for a total of 5 carts and measures the length of the 5 carts to be 57 inches a He sees that there are a total of 21 carts in the parking lot How long will the line of 21 carts be