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velikii [3]
3 years ago
15

There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth grader

s. How many are eighth graders? Explain your reasoning. *
Mathematics
2 answers:
nirvana33 [79]3 years ago
8 0
The answer is 10% if There is 40% six graders and 20% seventh graders then you need 10% more to make 100% so it’s 10% eighth graders
choli [55]3 years ago
5 0

Answer:

The answer would be 40% because if there are 40% 6th graders and 20% 7th graders 40 plus 20 = 60 so 60 plus 40 = 100%

Step-by-step explanation:

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Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

a_n=4n+5

<u>1. First 5 terms:</u>

For first 5 terms, we have to put n=1,2,...5,

So,

For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25

<u>2. Sum of first 25 terms:</u>

For that we have to find 25th term first

a_{25} = 4(25)+5\\=100+5\\=105

The formula for sum is:

S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425

<u>3. Type of sequence</u>

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

d=4

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3280369
  • brainly.com/question/7221312

#LearnwithBrainly

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