SOLUTION: Is the formula Asub(n)=-4n(n-1) Explicit or recursive? Find the first 5 terms of the sequence.

Question 754253: Is the formula Asub(n)=-4n(n-1) Explicit or recursive? Find the first 5 terms of the sequence.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
It is explicit since you can find any term you want by plugging in that value for n.

Ex: You can find the 10th term by plugging in n = 10. You do NOT need to know the previous term(s) to find the 10th term. So it's NOT recursive.

Let's find the first 5 terms

Term #1

Asub(n) = -4n(n-1)

Asub(1) = -4(1)(1-1) ... plug in n = 1

Asub(1) = -4(1)(0)

Asub(1) = -4(0)

Asub(1) = 0

Term #1 is 0

---------------------------------------

Term #2

Asub(n) = -4n(n-1)

Asub(2) = -4(2)(2-1) ... plug in n = 2

Asub(2) = -4(2)(1)

Asub(2) = -8(1)

Asub(2) = -8

Term #2 is -8

---------------------------------------

Term #3

Asub(n) = -4n(n-1)

Asub(3) = -4(3)(3-1) ... plug in n = 3

Asub(3) = -4(3)(2)

Asub(3) = -12(2)

Asub(3) = -24

Term #3 is -24

---------------------------------------

Term #4

Asub(n) = -4n(n-1)

Asub(4) = -4(4)(4-1) ... plug in n = 4

Asub(4) = -4(4)(3)

Asub(4) = -16(3)

Asub(4) = -48

Term #4 is -48

---------------------------------------

Term #5

Asub(n) = -4n(n-1)

Asub(5) = -4(5)(5-1) ... plug in n = 5

Asub(5) = -4(5)(4)

Asub(5) = -20(4)

Asub(5) = -80

Term #5 is -80

---------------------------------------

The first five terms are: 0, -8, -24, -48, -80,
RELATED QUESTIONS
Is the formula an = -4n(n-1) explicit or recursive? Find the first five terms of the... (answered by jim_thompson5910)

Is the formula {{{ a[n]=-4n(n-1) }}} explicit or recursive? Find the first five terms of... (answered by jim_thompson5910)

Is the formula an = −4n(n − 1) is explicit or recursive? Find the first five terms of (answered by ikleyn)

write the first five terms of the sequence defined by the given recursive or explicit... (answered by Edwin McCravy)

Write the first four terms of the sequence defined by the explicit formula an = n! /... (answered by greenestamps)

1) Use the explicit formula an=(-1)^n(13n-6), to find the first five terms of the... (answered by ikleyn)

. Kelly's art teacher is modeling a project for art and algebra.The students are going to (answered by stanbon)

The first term of the sequence is -2 and the fifth term is -1/8. List 4 things you know.... (answered by richwmiller)

Given the formula f(n) = 3(-1)n find the first 5 terms of this... (answered by fractalier)