Answer:
14
Step-by-step explanation:
7( 8 - 6 ) = 7 ( 2 ) = 14
Following PEMDAS, you would begin with solving within the ( ). So being that m = 8 you plug that in. Then subtract 6 from 8 which would then give you 2. The multiply 7 by 2, which gives you 14.
Answer:
9
Step-by-step explanation:
Just like a rectangle, times one length times width
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](https://tex.z-dn.net/?f=a_n%3D4n%2B5)
<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](https://tex.z-dn.net/?f=For%5C%20n%3D1%5C%5Ca_1%3D4%281%29%2B5%5C%5C%3D4%2B5%5C%5C%3D9%5C%5CFor%5C%20n%3D2%5C%5Ca_2%3D4%282%29%2B5%5C%5C%3D8%2B5%5C%5C%3D13%5C%5CFor%20n%3D3%5C%5Ca_3%3D4%283%29%2B5%5C%5C%3D12%2B5%5C%5C%3D17%5C%5CFor%5C%20n%3D4%5C%5Ca_4%3D%204%284%29%2B5%5C%5C%3D16%2B5%5C%5C%3D21%5C%5CFor%5C%20n%3D5%5C%5Ca_5%3D4%285%29%2B5%5C%5C%3D20%2B5%5C%5C%3D25%5C%5CFirst%5C%205%5C%20terms%5C%20are%3A%209%2C13%2C17%2C21%2C25)
<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](https://tex.z-dn.net/?f=a_%7B25%7D%20%3D%204%2825%29%2B5%5C%5C%3D100%2B5%5C%5C%3D105)
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](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%28a_1%2Ba_n%29%7D%5C%5CPutting%5C%20the%5C%20values%5C%5CS_n%3D%5Cfrac%7B25%7D%7B2%7D%289%2B105%29%5C%5C%3D12.5%28114%29%5C%5C%3D1425)
<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](https://tex.z-dn.net/?f=d%3D4)
Keywords: Arithmetic sequence, Sum of arithmetic sequence
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A' (0,4) respuesta es
espero que te sirva marcarme como mejor respuesta PORFA y gracias
Answer:
about 490.38
Step-by-step explanation: