Find the next three terms of the sequence
-2,-12, -72, -432, ….
each new term is 6 times the one before it
To find the next three terms of the given sequence, we need to determine the pattern or rule that governs the sequence. By examining the given sequence, we can observe that each term is obtained by multiplying the previous term by -6.
Therefore, the pattern or rule for this sequence is to multiply each term by -6 to get the next term.
Let's apply this rule to find the next three terms:
To find the fourth term:
- Multiply the third term (-72) by -6: -72 * -6 = 432.
To find the fifth term:
- Multiply the fourth term (432) by -6: 432 * -6 = -2592.
To find the sixth term:
- Multiply the fifth term (-2592) by -6: -2592 * -6 = 15552.
Thus, the next three terms of the sequence are 432, -2592, and 15552.
To find the next terms in the sequence -2, -12, -72, -432, we need to identify the pattern.
If we observe, each term in the sequence is obtained by multiplying the previous term by -6.
Hence, the pattern is:
-2 * (-6) = -12
-12 * (-6) = -72
-72 * (-6) = -432
To find the next term, we multiply -432 by -6:
-432 * (-6) = 2592
Therefore, the next term in the sequence is 2592.
To find the following term, we multiply 2592 by -6 again:
2592 * (-6) = -15552
For the third term, we multiply -15552 by -6:
-15552 * (-6) = 93312
So, the next three terms in the sequence are:
2592, -15552, 93312.