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Anton [14]
3 years ago
13

Find the 50th term of the following arithmetic sequence. 6, 13, 20, 27, ...

Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

349

Step-by-step explanation:

We know that a₁ (the first term) is 6 and d (the common difference) is 13 - 6 = 7.

Explicit formula: aₙ = a₁ + (n - 1)d = 13 + (n - 1) * 7 = 7n - 1

Therefore, a₅₀ = 7(50) - 1 = 349

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Divide.<br> a.1 − 2i/2i<br> b. 5 − 2i/5 + 2i<br> c.√3 − 2i/−2 − √3i
Umnica [9.8K]

Answer:

(a) \frac{-1i}{2}-1[/tex]

(b) \frac{20i+21}{29}

(c) i

Step-by-step explanation:

We have to perform division

(a) \frac{1-2i}{2i}

So after division

\frac{1-2i}{2i}=\frac{1}{2i}-\frac{2i}{2i}=\frac{-1i}{2}-1

(b) We have given expression \frac{5-2i}{5+2i}

After rationalizing \frac{5-2i}{5+2i}\times \frac{5-2i}{5-2i}=\frac{(5-2i)^2}{25+4}=\frac{25+4i^2+20i}{29}=\frac{20i+21}{29}

(c) We have given expression \frac{\sqrt{3}-2i}{-2-\sqrt{3i}}

After rationalizing

\frac{\sqrt{3}-2i}{-2-\sqrt{3i}}\times \frac{-2+\sqrt{3i}}{-2+\sqrt{3i}}=\frac{-2\sqrt{3}+7i+2\sqrt{3}}{7}=\frac{7i}{7}=i

5 0
3 years ago
A cylinder contain 150.8 cubic units of water. What is the minimum radius of a sphere that will hold the water? Round to nearest
Oksi-84 [34.3K]
70 because you would divide 150.8 by 2 and it gives you 75.4 but you have to round it and do v=4/3×3.14×70^3
6 0
3 years ago
4x - 3(2x + 1) + 7x - 19
Amiraneli [1.4K]
The solution is 5x - 22
8 0
2 years ago
Read 2 more answers
A motorist drives for m hours at 120km/hr and n hours at 18km/hr. Altogether Somina drives 78km in 5 hours. Find m and n.​
nikdorinn [45]

Answer:

(0.118, 4.882)

Step-by-step explanation:

If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;

​Distance = Speed * time

​da = 120m

If he drives n hours at 18km/hr;

db = 18 * n

db = 18n

Speed of the motorist altogether is expressed as;

Speed =78km/5hrs

Speed = 15.6km/hr

SInce the total distnce is 78km

120m + 18n = 78 ....1 ..... * 1

If total time is 5hrs

m + n = 5....2 ...*18

Solve simultaneously

120m + 18n = 78

18m + 18n = 90

Subtract

120m - 18m = 78-90

102m = -12

m = 0.118 hrs

m =

Since m + n = 5

n = 5 - m

= 5 - 12/102

n = 4.882

Hence (m,n) is (0.118, 4.882)

3 0
3 years ago
G(x) = 4x + 1<br> What is g(3)?<br> O A. 12<br> O B. 13<br> O C. 8<br> O D. 16
Scrat [10]

Answer:

B. 13

Step-by-step explanation:

g(x)=4x+1

g(3)=4(3)+1

g(3)= 12+1

g(3)=13

6 0
3 years ago
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