Consider the given sequence.3, -12, 48, -192, . . .What is the 9th term of the sequence?
To find the 9th term of the given sequence, we need to observe the pattern or the rule that governs this sequence
To find the 9th term of the given sequence, we need to observe the pattern or the rule that governs this sequence. Looking at the given terms, we can notice that each term is obtained from the previous term by multiplying it by -4.
Let’s analyze it step by step:
1st term: 3
2nd term: 3 × (-4) = -12
3rd term: -12 × (-4) = 48
4th term: 48 × (-4) = -192
From this pattern, we can see that each term is obtained by multiplying the previous term by -4.
So, to find the 9th term, we proceed as follows:
5th term: -192 × (-4) = 768
6th term: 768 × (-4) = -3072
7th term: -3072 × (-4) = 12288
8th term: 12288 × (-4) = -49152
9th term: -49152 × (-4) = 196608
Therefore, the 9th term of the sequence is 196608.
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