In An AP if an=3-4n then the common difference is_______
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Answer:
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Step-by-step explanation:
Common difference (d) = 4
Given :
= 3 + 4n
To find :
Common difference (d)
Solution :
It is given that,
= 3 + 4n_____(1)
Now,
put n = 1, 2, 3 turn wise. So that we can find , and .
For finding ,
put n = 1 in (1)
= 3 + 4 (1)
= 3 + 4
= 7
For finding ,
put n = 2 in (1).
= 3 + 4 (2)
= 3 + 8
= 11
For finding ,
put n = 3 in (1).
= 3 + 4 (3)
= 3 + 12
= 15
So, the AP will be :
7, 11, 15
Here, = 7
= 11
= 15
Now,
common difference (d) = -
common difference (d) = 11 - 7
common difference (d) = 4
Similarly,
common difference (d) = -
common difference (d) = 15 - 11
common difference (d) = 4
Hence, the common difference (d) is 4.
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