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The 8th term of an ap is 17 and 19 term is 39 find the common difference​

1 Answer

4 votes

Answer:

2

Explanation:

an = a1 + d(n-1) is the formula

17 = a1 +d(8-1 ) = a1 *7d

39 = a1 +d (19-1) =a1+ 18d

We have 2 equations and 2 unknown. Subtract to eliminate a1

39 = a1 +18d

-17 = a1 +7d

--------------------

22 = 11d

Divide by 2

22/11 = 11d/11

2 =d

The common difference is 2

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