Asked by Aaliyah
Determine whether each sequence is arithmetric or geometric. Find the next three terms.
1.14, 19, 24, 29,...
geo, 34, 39, 44****
arithmetric, 32,36,41****
arithmetric, 34, 39, 44
The sequence is neither geo nor arith
2.-4,8,-16,32,...
arith, 64, 128, 256****
geo, -64, 128, -256****
geo, -48, 64, -80
The sequence is neither geo nor arith
3.81, 27, 9, 3,...
arith, 0, -3, -6
geo, 0, -3, -6****
geo, 1, 1/3, 1/9****
The sequence is neither geo nor arith
Find the next three terms in the sequence.
4. 3,12,21,30,...
40,50,60
38,46,54****
39,48,57
36,32,39****
5. 30,22,14,6
3,-12,-21****
-1,-8,-15
-1,-2,3
-2,-10,-18****
I PICKED 2 ANSWERS BECAUSE I THOUGHT THEY WERE BOTH RIGHT.
1.14, 19, 24, 29,...
geo, 34, 39, 44****
arithmetric, 32,36,41****
arithmetric, 34, 39, 44
The sequence is neither geo nor arith
2.-4,8,-16,32,...
arith, 64, 128, 256****
geo, -64, 128, -256****
geo, -48, 64, -80
The sequence is neither geo nor arith
3.81, 27, 9, 3,...
arith, 0, -3, -6
geo, 0, -3, -6****
geo, 1, 1/3, 1/9****
The sequence is neither geo nor arith
Find the next three terms in the sequence.
4. 3,12,21,30,...
40,50,60
38,46,54****
39,48,57
36,32,39****
5. 30,22,14,6
3,-12,-21****
-1,-8,-15
-1,-2,3
-2,-10,-18****
I PICKED 2 ANSWERS BECAUSE I THOUGHT THEY WERE BOTH RIGHT.
Answers
Answered by
Steve
Very few sequences can be both arithmetic and geometric:
a,a,a,a,...
has d=0, r=1
to be arithmetic, the difference between two terms must be constant
to be arithmetic, the ratio between two terms must be constant
For #1, 14, 19, 24, 29
it is clear that you add 5 to each term to get the next. So, it is arithmetic, and the next terms are 34,39,44,49,...
For #2, -4,8,-16,32
you multiply by -2 each time, so it is geometric, and the next terms are -64,128,-256,...
Take a look at the others and decide <b>which</b> they are. None will be both arithmetic and geometric.
a,a,a,a,...
has d=0, r=1
to be arithmetic, the difference between two terms must be constant
to be arithmetic, the ratio between two terms must be constant
For #1, 14, 19, 24, 29
it is clear that you add 5 to each term to get the next. So, it is arithmetic, and the next terms are 34,39,44,49,...
For #2, -4,8,-16,32
you multiply by -2 each time, so it is geometric, and the next terms are -64,128,-256,...
Take a look at the others and decide <b>which</b> they are. None will be both arithmetic and geometric.
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poopoohead
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