Il2sijoshine Il2sijoshine
  • 25-02-2017
  • Mathematics
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The 10th term of an arithmetic series is 34, and the sum of the first 20 terms is 710. Determine the 25th term.

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WalkingDisaster408
WalkingDisaster408 WalkingDisaster408
  • 28-02-2017
S(10) = a + (n-1)d
    34 = a + 9d ---- Eqn 1
 Sum(20) = n/2(2a +(n-1)d)
       710 = 20/2(2a + 19d) ----- Eqn 2
Solve these two equations and find the value of a and d and put the values in the first eqn (a + (n-1)d) to find the 25th term    
*n = the term
*a = the starting number 
*d = the difference in the series for each number
      
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