the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?
1 answer:
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Answer:
7 to 8 months / most probably 8 months
7.5 months to be exact
Step-by-step explanation:
Hi there!! Let's work!
So lets Break it down,
Given: $40 every month
Prove: How many months till he has in total $300
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<h2>We need to multiply the number of months to 40 to get 300</h2>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
<h3>So lets refer to a multiplication chart to make it easier:</h3>||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
<h3>Here is an example of the equation we will use:</h3><u>400 x (months) = $300 / (or how much ever we get)</u>
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<h2>As you can see: </h2>We have 2 final equations because we don't have a straight forward answer. (Refer to explanation below)
40 x 7 = 280
and
40 x 8 = 320
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So in problems like these we have to think like we would in real life, if you have an option you can write 7 to 8 months or you should write 8 instead of seven since they may be asking for a specific amount of months and after 8 months Gage will reach (surpass) his goal of $300 by $20.
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