Find the first four terms of the recursive sequence defined below.

GAMEMASTERX40
Jun 2, 2018

#1**+2 **

Hey GAMEMASTERX40!

We want to find the first four terms of the recursive sequnce defined above.

The first term is already given, since it says a_{1 }= -3, so we know the first term is negative three.

The second terms is defined by the second rule. It states that the next term is 6 less then the term before.

So if the first term is -3, the second is -3-6 = -9

We continue this rule:

-3, -9, -15, -21

I hope this helped,

Gavin

GYanggg
Jun 2, 2018

#2**+2 **

This is a recursive formula. The first term, \(a_1\), is already given; it is -3. The recursive formula is saying that the following term is equal to the previous term minus 6.

The first term is easy to find.

\(a_1=-3\) | This is the first term. It is given to us! |

Let's find the second term! In order to find the second term, set n equal to 2 in the formula!

\(n=2;\\ a_2=a_{2-1}-6\) | a_{2-1 }simplifies to a_{1} . |

\(a_2=a_1-6\) | Of course, we already know what the value of a_{1 }is. a_{1}=-3. |

\(a_2=-3-6\) | |

\(a_2=-9\) | |

See if you can generate the next two terms in the sequence. Well, it looks like Gavin already answered the question I planned to pose to you.

TheXSquaredFactor
Jun 2, 2018

#3**+1 **

Thanks, Gavin and TheXSquaredFactor! This really helped, oh and call me Rick.

GAMEMASTERX40
Jun 2, 2018