SOLUTION: If the 5th and the 6th term of an AP are 2 and 12 respectivly, find d 16th term

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Question 1066887: If the 5th and the 6th term of an AP are 2 and 12 respectivly, find d 16th term
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Then the common difference is a%5B6%5D-a%5B5%5D = 12-2 = 10.


Then 


the 7-th term is a%5B6%5D%2B10 = 12+%2B+10 = 22,

the 8-th term is a%5B6%5D%2B2%2A10 = 12+%2B+20 = 32,

the 9-th term is a%5B6%5D%2B3%2A10 = 12+%2B+30 = 42,

. . . . . 

the 16-th term is a%5B6%5D%2B%2816-6%29%2A10 = 12+%2B+100 = 112.

There is a bunch of lessons on arithmetic progressions in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
    - Mathematical induction and arithmetic progressions
    - One characteristic property of arithmetic progressions
    - Solved problems on arithmetic progressions


Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".