What is the sum of the first seven terms of the geometric series? 3 12 48 192 ...
1 answer:
Hence, the sum of the given GP is 16347
<h2>What is a series?</h2>a series is the cumulative sum of a given sequence of terms. Typically, these terms are real or complex numbers, but much more generality is possible.
<h3>How to solve?</h3>we can identify from the given geomertric series.
first term = a(say) = 3
geometric factor of progression = r(say) = 4
Sum of the first 7 terms = a() ,where n is 7
Sum = 3() = 16348-1
= 16347
Hence, the sum of the given GP is 16347.
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Answer:
(1) The total cost under Plan A is <u>$92</u> and the total cost under Plan B is <u>$515</u>.
(2) The total cost under Plan A is <u>$92</u> and the total cost under Plan B is <u>$1,030</u>.
Step-by-step explanation:
<u><em>The question is incomplete, so the complete question is below:</em></u>
Now, to find (1) total cost for each of the two plans. (2) Total cost under each of the two plans, if sister doubles her monthly usage to 3,500 minutes and sends 3,300 texts.
<h3>(1) </h3>As, the Plan A is for unlimited talk and text
Cost of the Plan A = $92.
<u><em>Now, to find the cost under Plan B:</em></u>
According to question:
Rate of call per minute is $0.20 and per text is $0.10.
Calls she uses currently is 1,750 minutes and text 1,650.
<u><em>So, to get the cost of Plan B:</em></u>
Thus, Plan B costs $515.
<h3>(2)</h3><u><em>Now, to get the total cost as, sister doubles her monthly usage to 3,500 minutes and sends 3,300 texts.</em></u>
As, the Plan A is same in both cases and is for unlimited text and calls.
So, cost of Plan A = $92.
As, the monthly usage is double.
Calls in minutes are 3,500.
Texts are 3,300.
<u><em>Now, to get the total cost under Plan B:</em></u>
Hence, the cost of Plan B = $1,030.
Therefore, (1) The total cost under Plan A is $92 and the total cost under Plan B is $515.
(2) The total cost under Plan A is $92 and the total cost under Plan B is $1,030.