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podryga [215]
3 years ago
14

14^6 ÷ 14^4 please :)​

Mathematics
2 answers:
Inessa05 [86]3 years ago
7 0

Answer: 196 :)

Step-by-step explanation:

Montano1993 [528]3 years ago
4 0

Answer:

196

follow pemdas   (exponents first)

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From term 1 to term 2, there's a decrease by \frac{1}{5}
From term 2 to term 3, there's a decrease also by \frac{1}{5}

The rule to find the n^{th} term in a sequence is 
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So, the formula for the sequence in question is
n_{th} term = 1000( \frac{1}{5} ^{n-1} )

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
S_{∞} = \frac{a}{1-r} for -1<r<1 
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S_{∞} = \frac{1000}{1- \frac{1}{5} } = 1250

Hence, the correct option is option number 1

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