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Step-by-step explanation:
Given that,,
2nd term of an A. P. = a2 = a + d = 7------eq ( 1 ) ( say) and
5th term of an A. P. = a 5 = a + 4d = 19------eq ( 2 ) ( say )
On subtracting eq ( 2 ) -eq ( 1 ), we get
a + 4d - a - d = 19 - 7
3d = 12
d = 12/3
d = 4.
On substituting " d = 4 " in eq ( 1 ), we get
a + 4 = 7
a = 7 -4
a = 3
∴The 1st term of an A. P. = a = 3
Common difference = d = 4
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