SOLUTION: The following gives the geometric sequence 2,M,N,250 find the values of M and N

Algebra.Com
Question 941138: The following gives the geometric sequence 2,M,N,250 find the values of M and N
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
 2,       M,      N ,     250  
 ∥        ∥       ∥        ∥  
 2,      2r,     2r²,     2r³
 ∥        ∥       ∥        ∥ 
2=2,    M=2r,   N=2r²,  2r³=250
          ∥       ∥      r³=125      
          ∥       ∥       r=5
          ∥       ∥        
       M=2r,    N=2r²
       M=2(5)   N=2(5)²
       M=10     N=2(25)
                N=50 

Sequence: 2,M,N,250 = 2,10,50,250 
 
Edwin

RELATED QUESTIONS

If 2 and 3 are two geometric means between m and n, find the values of m and... (answered by robertb)
If 7, M, N and 189 are in G.P ( Geometric Progression). Find the values of M and... (answered by ewatrrr)
geometric sequence 2,P,Q,250. find the values of P and... (answered by rothauserc)
Find the values of m and n,.m+np2= 56... (answered by oscargut)
If m + n = 3 and m^2 + n^2 = 6, find the exact value of m^3 +... (answered by richard1234)
Please I will Cashapp 10$ If anyone can solve it it's due today I really need help.... (answered by Boreal)
If M and N are 2 positive numbers and M>N, which of the following expressions is the... (answered by ikleyn)
Given the geometric sequence an = 4(6)n − 1, which of the following values for n... (answered by Edwin McCravy)
simplify expression and state the excluded values of the variables 3 m^2 n^3 / (36 m... (answered by stanbon)