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The first term of an arithmetic sequence is 2. The sum of the third and the sixth terms is 25. What is the fourth term?

 Aug 20, 2020
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3rd + 6th term = 25        let x = third term

x + 3d = 25

 

AND    x - 2d= 2         x = 2 + 2d

 

sub into the first equation

2 + 2d + 3d = 25

5d = 23

d = 23/5

 

1st + 3d = 4th term

2 + 3 (23/5) = ........

 Aug 20, 2020

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