Any given sequence is said to be geometric if each term $a_n$ can be obtained as the previous term $a_{n-1}$ by a constant value called the common ratio.

$a_n=a_{n-1}.r$

or equivalently

$a_n=a_1.r^{n-1}$

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios

$\displaystyle \frac{162}{-54},\ \frac{-54}{18}$ and we see they both result -3. If we use r=-3 and try to find the second term (y), then

y=2*(-3)=-6

Now we compute the third term: (-6)(-3)=18

Since we got the third term as given in the original sequence.

So y=-6

3 0

2 years ago

If 675 is 3/4 what is the the other 1/4 and how did you get it ?

SashulF [63]

Answer:

225

Step-by-step explanation:

If you divide 675 you'll get 225. 225 times 4 will be 900. But 225 times 3 will be 674. So each 1/4 will be 225.

6 0

2 years ago

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