Question

In: Advanced Math

For the following exercises, write the first four terms of the sequence.

For the following exercises, write the first four terms of the sequence.

Solutions

Expert Solution

Consider the explicit formula of a sequence,

an = (2n + 1)/n3 ...... (1)

 

Compute first term of the sequence by substituting n = 1 in formula (1),

a1 = (2 × 1 + 1)/13

      = 3/1

     = 3

 

Compute second term of the sequence by substituting n = 2 in formula (1),

a2 = (2 × 2 + 1)/23

     = 5/8

 

Compute third term of the sequence by substituting n = 3 in formula (1),

a3 = (2 × 3 + 1)/33

     = 7/27

 

Compute forth term of the sequence by substituting n = 4 in formula (1),

a4 = (2 × 4 + 1)/43

     = 9/64

 

Therefore, the first four terms of the given sequence are {3, 5/8, 7/27, 9.64}.

Therefore, the first four terms of the given sequence are {3, 5/8, 7/27, 9.64}.

Umair answered 1 year ago
Next > < Previous

Related Solutions

For the following exercises, write the first eight terms of the sequence.
For the following exercises, write the first eight terms of the sequence.
For the following exercises, write the first eight terms of the sequence.
For the following exercises, write the first eight terms of the sequence.
For the following exercises, use the recursive formula to write the first five terms of the arithmetic sequence. a1 = 39; an = an − 1 −3
For the following exercises, use the recursive formula to write the first five terms of the arithmetic sequence. a1 = 39; an = an − 1 −3
Write the first four terms of the sequence defined by the explicit formula an = 10n + 3.
Write the first four terms of the sequence defined by the explicit formula an = 10n + 3.
For the following exercises, write the first five terms of the geometric sequence, given the first term and common ratio. a1 = 5, r = 1/5
For the following exercises, write the first five terms of the geometric sequence, given the first term and common ratio. a1 = 5, r = 1/5
For the following exercises, find the specified term for the geometric sequence, given the first four terms. an = {−1, 2, −4, 8, ...}. Find a12.
For the following exercises, find the specified term for the geometric sequence, given the first four terms. an = {−1, 2, −4, 8, ...}. Find a12.
Write the first four terms of the sequence defined by the recursive formula a1 = 2, an = an − 1 + n.
Write the first four terms of the sequence defined by the recursive formula a1 = 2, an = an − 1 + n.
For the following exercises, write an explicit formula for each sequence.
For the following exercises, write an explicit formula for each sequence.
For the following exercises, use the formula for the sum of the first n terms of each geometric sequence, and then state the indicated sum.
For the following exercises, use the formula for the sum of the first n terms of each geometric sequence, and then state the indicated sum.
For the following exercises, write a recursive formula for each geometric sequence.
For the following exercises, write a recursive formula for each geometric sequence.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT