Find the next three terms of the sequence.
-2, -12, -72, -432, ...
a) -1,728, -6,912, -27,648
b) -1,728, -10,368, -62,208
c) -2,592, -10,368, -41,472
d) -2,592, -15,522, -93,312
i dont know how to solve this, it doesn't make sense to me please help!
well my calculator says 6 * 72 = 432
I wonder what 6 * 432 is?
To find the next terms of the sequence, we need to identify the pattern or rule governing the relationship between the terms. Let's analyze the given sequence:
-2, -12, -72, -432, ...
If we observe carefully, we can see that each term is obtained by multiplying the previous term by -6. In other words, each term is obtained by multiplying the previous term by -6.
Let's apply the rule to find the next terms:
Starting with the last term, -432, we multiply it by -6:
-432 * -6 = 2,592
Therefore, the next term is 2,592.
Now, let's multiply the new last term, 2,592, by -6:
2,592 * -6 = -15,552
Hence, the second next term is -15,552.
Lastly, let's multiply -15,552 by -6:
-15,552 * -6 = 93,312
Therefore, the third next term is 93,312.
So, the next three terms of the sequence are -2,592, -15,552, and 93,312.
Comparing these terms with the answer choices provided, we can see that the correct option is:
d) -2,592, -15,522, -93,312
Find the next three terms of the sequence.
Or a geometric sequence with a common ration 6 and a=-2
For T5,T6 T7
Tn=(-2)(6)^(n-1)
T5=(-2)(6^(5-1)=-2(1296)=-2592