Next 4 terms in the sequence

Question

anonymous · Answer

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anonymous · Answer

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john_es · Answer

$$a_1=-5\
a_2=-13\
a_3=-21\
a_4=-29\
a_5=-37\$$

john_es · Answer

Because,
$$a_2=a_1-8\
a_3=a_2-8$$ And go on.

anonymous · Answer

ah okay thanks :) so then i would do a4 - a3?

anonymous · Answer

$$a _{4} - a _{3}$$

john_es · Answer

Why?

anonymous · Answer

Oh well i jus figured cause you did a2 = a1−8 and a3=a2−8.. sorry guess i still dont understand what the problem is askng me to do.

john_es · Answer

The problem ask you to find the four following terms of a sequence. For this to be accomplished,  they give you the first term and a recurrence relation (the definition of the sequence).

With this, you need to find  a_2, a_3, a_4 and a_5. These are the terms I posted. Each term of the sequence, except the first, is obtained from the previous term as you see.

anonymous · Answer

Okay.. but how did you get the answer. like for a_3? thanks.

john_es · Answer

Well you know a_1=-5. Then you need to know a_2,
$$a_2=a_1-8=-5-8=-13$$ Now, that you know a_2, you can calculate a_3,
$$a_3=a_2-8=-13-8=-21$$ And go on.

anonymous · Answer

Oh okay starting to make a little more sense.. to find a4 you would do a4 - a3.=..  -8 - -29 - 8 -- 21?

john_es · Answer

Yes,
$$a_4=a_3-8=-21-8=-29$$