First term correlate with second do same for third and fourth term
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Step-by-step explanation:
Let a,d and an be the first term,common difference and nth term of given AP.
Given, a4=3a
⇒a+3d=3a
⇒2a=3d
⇒a=23d ..(1)
a7=2a3+1 (given)
⇒a+6d=2(a+2d)+1
⇒a+6d=2a+4d+1
⇒a−2d=−1 (2)
Substitute a = 23d in equation (2)
23d−2d=−1
⇒−d=−2
⇒d=2
and a = 23d = 3
So, first term is 3 and common difference is 2
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