So, here in part a), we are given n terms (no specific no. of terms given), so no. of terms = n , also, the common difference is defined as the difference between the next term to a specific term and the term, i.e , where d is the common difference, so here d = 49 - 45 = 4
Also, here the last term is 49 let say it the nth term, as no number of terms are given, so using the Arithmetic Progression formula, we can write as ;
Now, as we assumed there are n terms, so using the sum formula, we can have ;
Now, for part b) we are given a geometric progression with first term = a = 1, common ratio = r = (3/1) = 3, and no. of terms = n = 6, so now putting all values in the sum formula we will have;
Answer:
b
Step-by-step explanation:
<h3>
Answer: 1/4</h3>
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Explanation:
Let's say this school has 1000 students.
5/8 of that amount is (5/8)*1000 = 625. There are 625 students who play sports.
Then we take 2/5 of this to get (2/5)*625 = 250 to represent the number of people who play soccer.
The last step is to divide that result over the original number of students. Reduce as much as possible.
250/1000 = 25/100 = 1/4
Therefore, 1/4 of all the students play soccer
Answer:
<em>Amount of $34000 will earn </em><em>$896</em><em> more interest as compared to the amount of $18000.</em>
Step-by-step explanation:
We know that,
where,
i = interest,
P = principle,
r = rate of interest,
t = time period.
For principle amount of $34,000,
For principle amount of $18,000,
So the difference between the interest is,
Therefore, amount of $34000 will earn $896 more interest as compared to the amount of $18000.
0.4 -> 4/10 (divided by 2) -> 2/5
0.35 -> 35/100 (divided by 5) -> 7/20