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Elanso [62]
3 years ago
9

Determine 2nd term and rth term of a.p.whose 6 th term is 12 and 8 th term is 22​

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic progression is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a_{6} = 12 and a_{8} = 22, then

a₁ + 5d = 12 → (1)

a₁ + 7d = 22 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 10 ( divide both sides by 2 )

d = 5

Substitute d = 5 into (1) to find a₁

a₁ + 5(5) = 12

a₁ + 25 = 12 ( subtract 25 from both sides )

a₁ = - 13

Thus

a_{2} = - 13 + 5 = - 8

a_{n} = - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term

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3 years ago
The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *
Rudik [331]

Answer:

12 sides

Step-by-step explanation:

To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;

first write down the formula for finding sum of the interior angle of a polygon

s= (n-2)180

where s is the sum of the interior angle and n is the number of side

from the question given, sum of the interior angle s=1800 degrees

substitute s=1800 degree into the formula and solve for n

s= (n-2)180

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divide both-side of the equation by 180

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add 2 to both-side of the equation

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The polygon have 12 sides

5 0
3 years ago
More of my brothers wwork for yalll have fun and tysm!
IceJOKER [234]
Answer: 3/4 x 48
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Can someone please help me with this
lana [24]

Answer:

3x-10+70°=180°(Supplementary angles)

3x+60°=180°

3x=180°-60°

3x=120°

3x/3 =120°/3

x=40°

Step-by-step explanation:

Hope that this is helpful.

Have a wonderful day.

6 0
3 years ago
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