Consider the given sequence.3, -12, 48, -192, . . .What is the 9th term of the sequence?
To find the 9th term of the sequence, we need to determine the pattern or rule governing the sequence
To find the 9th term of the sequence, we need to determine the pattern or rule governing the sequence. Looking at the given sequence, we can observe that each term is obtained by multiplying the previous term by -4.
Let’s break it down step by step to understand the pattern:
1st term: 3
2nd term: -4 × 3 = -12
3rd term: -4 × (-12) = 48
4th term: -4 × 48 = -192
Based on this pattern, we can see that each term is generated by multiplying the previous term by -4. Therefore, to find the 9th term, we need to continue this pattern:
5th term: -4 × (-192) = 768
6th term: -4 × 768 = -3072
7th term: -4 × (-3072) = 12288
8th term: – 4 × 12288 = -49152
9th term: -4 × (-49152) = 196608
Thus, the 9th term of the given sequence is 196608.
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