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.

4 answers

#1 is Arithmetic with d = 5
It is NOT geometric
r = 29/24 = 1.208
r = 19/14 = 1.357
1.208 is NOT 1.357
2.
-4,8,-16,32,...

-4 to + 8 is +12
then it goes DOWN 12
so not arithmetic, different d
now is it geometric?
8/-4 = -2
-16/8 = -2
32/-16 = -2 = r SO GEOMETRIC
next term is
32 * -2 = -64
so the middle one.
I do not understand why you are having trouble with these.
http://www.mathsisfun.com/algebra/sequences-sums-geometric.html
http://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html
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