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Ludmilka [50]
3 years ago
12

+ 8 X 3 X 11 + 2^2
Mathematics
1 answer:
Nastasia [14]3 years ago
5 0
11^2+8\times3\times11+2^2\\\\first:\\11^2=11\times11=121\\8\times3=24\\2^2=2\times2=4\\\\=121+24\times11+4\\\\second:\\24\times11=264\\\\=121+264+4=(121+264)+4=385+4=\huge\boxed{389}
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Find the series in A.P whose sum to n terms is n*(n+2)​
Lemur [1.5K]

Answer:

3, 5, 7, 9, 11, .........

Step-by-step explanation:

Given

S_{n} = n(n + 2) , then

S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3

S₂ = 2(2 + 2) = 2(4) = 8

S₃ = 3(3 + 2) = 3(5) = 15

Thus

a₂ = S₂ - S₁ = 8 - 3 = 5

a₃ = S₃ - S₂ = 15 - 8 = 7

The first 3 terms are 3, 5, 7

This is an AP with common difference d = 2, then

a₄ = a₃ + 2 = 7 + 2 = 9

a₅ = a₄ + 2 = 9 + 2 = 11

and so on

3 0
3 years ago
The product of two consecutive even positive integers is 674 more than the sum of the two integers. Find the integers.
IrinaVladis [17]
2n(2n+2)=2n+2n+2+674\\
4n^2+4n=4n+676\\
4n^2=676\\
n^2=169\\
n=-13 \vee n=13
-13\not\ \textgreater \ 0

n=13\\
2n=26\\
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It's 26 and 28.
7 0
3 years ago
Two particles are fixed to an x axis: particle 1 of charge -1.00 x 10-7 C is at the origin and particle 2 of charge +1.00 x 10-7
r-ruslan [8.4K]
The electric field strength at any point from a charged particle is given by E = kq/r^2 and we can use this to calculate the field strength of the two fields individually at the midpoint. 

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</span>
Note the sign of the field for particle 1 is negative so this is attractive for a test charge whereas for particle 2 it is positive therefore their equal magnitudes will add to give the magnitude of the net field, 2*<span>7.041 N/C </span>= 14.082 N/C
6 0
4 years ago
F(1) = 55, f(n)=f(n - 1) +8; 95<br> The term 95 is the _th term<br><br> Need help quickly
Viefleur [7K]

Answer:

6th term

Step-by-step explanation:

95=55+8n-8

95-55=8n-8

40+8=8n

48/8=8n/8

6=n

5 0
3 years ago
184 is what percent more than 148
Alika [10]
It is 36 percent more
7 0
3 years ago
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