Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic progression is
 = a₁ + (n - 1)d
 = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given  = 12 and
 = 12 and  = 22, then
 = 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 
 = - 13 + 5 = - 8
 = - 13 + 5 = - 8
 = - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term
 = - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term
 
        
             
        
        
        
It causes very low gravity but it still has a bit of gravity. Hope it helped! ;-) <3
        
             
        
        
        
<u>Answer:</u>
The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.
<u>Solution:</u>
Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.
Hence, by above definition, we get  
 ------- eqn 1
  ------- eqn 1
From question, for a chain with 65 paper clips has a length of 97.5 inches, we get  

Similarly, for a chain with 14 paper clips with length to be found, we get  

Now by using eqn 1, we can calculate the length of 14 paper clips  is,

Rearranging the terms we get,


Hence the length of chain with 14 paper clips is 21 inches.
 
        
             
        
        
        
Answer:
27
Step-by-step explanation: