Question

In: Advanced Math

For each sequence given below, find a closed formula for an, the nth term of the sequence (assume...

For each sequence given below, find a closed formula for an, the nth term of the sequence (assume the first terms here are always a0) by relating it to another sequence for which you already know the formula.

−1,0,7,26,63,124,…

an=(n^3)-1


−1,1,7,17,31,49,…

an=2n^2-1


0,10,30,60,100,150,.....

an=10*((n(n+1))/2)


2,3,6,14,40,152,…

an=

The first three are correct I can't figure out the last one.


Solutions

Expert Solution

Colby Messinger answered 1 year ago
Next > < Previous

Related Solutions

Use the formula for the general term​ (the nth​ term) of an arithmetic sequence to find...
Use the formula for the general term​ (the nth​ term) of an arithmetic sequence to find the sixth term of the sequence with the given first term and common difference. a1 =15; d=7 a6 =
Find the closed formula solution to each of the following recurrence relations with the given initial...
Find the closed formula solution to each of the following recurrence relations with the given initial conditions. Use an iterative approach and show your work! What is a_100? a) a_n=a_(n-1)+2,a_0=3 b) a_n=a_(n-1)+2n+3,a_0=4 c) a_n=2a_(n-1)-1,a_0=1 d) a_n=-a_(n-1),a_0=5
Find the closed formula solution to each of the following recurrence relations with the given initial...
Find the closed formula solution to each of the following recurrence relations with the given initial conditions. Use an iterative approach and show your work! What is a100 ? an=an-1+2, a0=3 an=an-1+2n+3, a0=4 an=2an-1-1, a0=1 an=-an-1, a0=5
1. Find the 100th and the nth term for each of the following sequences. a. 50,90,130,......
1. Find the 100th and the nth term for each of the following sequences. a. 50,90,130,... b. 1,4,16,... c. 7, 74,77,710,... d. 197+7x327, 197+8x327, 197+9x327,... 2. Find the first five terms in sequences with the following nth terms. a. 10n-5 b.2n-1 3. How many terms are there in each of the following sequences? a. 11,15,19,23,...331 b. 59,60,61,62,...459
1.) Find the 100th and the nth term for each of the following sequences. a. 1,3,5,7,......
1.) Find the 100th and the nth term for each of the following sequences. a. 1,3,5,7,... b.70,100,130... c.1,3,9... d.8,84,87,810,... e. 200+6x231, 200+7x231, 200+8x231 2. Find the first five terms in sequences with the following nth terms. a. 2n2+6 b.4n+1 c. 10n-5 d.2n-1
Given a sequence of closed intervals arranged so that each interval is a subinterval of the...
Given a sequence of closed intervals arranged so that each interval is a subinterval of the one preceding it and so that the lengths of the intervals shrink to zero, then there is exactly one point that belongs to every interval of the sequence. (This is known as the nested interval property)
Find the 10-point DFT sequence of the x [n] sequence given below. ?[?] = cos (...
Find the 10-point DFT sequence of the x [n] sequence given below. ?[?] = cos ( 3??/ 5 ) . sin( 4??/ 5 )
Find a closed formula for each of the following sequences. Show all work and explain your...
Find a closed formula for each of the following sequences. Show all work and explain your answers. (a) {1, 6, 17, 34, 57, 86, 121, . . .}, where a0 = 1. (b) an = 5an−1 + 4, a0 = 2 (c) an = 10an−1 − 21an−2, a0 = 6, a1 = 26.
a. Find the​ nth-order Taylor polynomials of the given function centered at the given point​ a,...
a. Find the​ nth-order Taylor polynomials of the given function centered at the given point​ a, for n = ​0, ​1, and 2. b. Graph the Taylor polynomials and the function. f(x) = cos x, a = 2pi / 3
Write a recursive formula for the arithmetic sequence 0, −1/2 , −1, −3/2 , … , and then find the 31st term.
Write a recursive formula for the arithmetic sequence 0, −1/2 , −1, −3/2 , … , and then find the 31st term.  
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT