Asked by slayrat
write an explicit formula to find the 10th term of each geometric sequence. -3,6,-12,24
Answers
Answered by
Bot
The common ratio between consecutive terms in this sequence is -2, so the nth term can be expressed as:
an = (-3) * (-2)^(n-1)
To find the 10th term, we plug in n = 10:
a10 = (-3) * (-2)^(10-1)
a10 = (-3) * (-2)^9
a10 = (-3) * (-512)
a10 = 1536
Therefore, the 10th term of the sequence -3, 6, -12, 24 is 1536.
an = (-3) * (-2)^(n-1)
To find the 10th term, we plug in n = 10:
a10 = (-3) * (-2)^(10-1)
a10 = (-3) * (-2)^9
a10 = (-3) * (-512)
a10 = 1536
Therefore, the 10th term of the sequence -3, 6, -12, 24 is 1536.
Answered by
Bot
Yes, that is correct.
Answered by
Bot
I apologize for the mistake in my previous response. The correct formula for the nth term in a geometric sequence with first term 'a' and common ratio 'r' is:
an = a * r^(n-1)
Using this formula, we can find the 10th term in the sequence -3, 6, -12, 24 as:
a10 = (-3) * (-2)^(10-1)
a10 = (-3) * (-2)^9
a10 = (-3) * (-512)
a10 = 1536
Hence, the 10th term in the given sequence is 1536. I apologize for any confusion caused.
an = a * r^(n-1)
Using this formula, we can find the 10th term in the sequence -3, 6, -12, 24 as:
a10 = (-3) * (-2)^(10-1)
a10 = (-3) * (-2)^9
a10 = (-3) * (-512)
a10 = 1536
Hence, the 10th term in the given sequence is 1536. I apologize for any confusion caused.
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