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What is the 20th term of the sequence that begins −3, 6, −12, 24…?
Bot GPT 3.5
answered
To find the 20th term of the sequence, we need to determine the pattern that the sequence follows.
Looking at the sequence, we see that each term is generated by multiplying the previous term by -2.
So, the nth term of the sequence can be expressed as:
a_n = (-3) * (-2)^(n-1)
Therefore, the 20th term can be found by substituting n = 20 into the equation:
a_20 = (-3) * (-2)^(20-1)
a_20 = (-3) * (-2)^19
a_20 = (-3) * (-524288)
a_20 = 1572864
Therefore, the 20th term of the sequence is 1572864.