Determine the AP whose 3^{rd} term is 5 and t | vedclass

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(A) The general term of an $AP$ is given by $a_n = a + (n - 1)d$.Given that the $3^{rd}$ term is $5$,we have:$a_3 = a + 2d = 5$ $...(1)$Given that the

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$3$,$4$,$5$,$6$,$7$,...

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(A) The general term of an $AP$ is given by $a_n = a + (n - 1)d$.Given that the $3^{rd}$ term is $5$,we have:$a_3 = a + 2d = 5$ $...(1)$Given that the $7^{th}$ term is $9$,we have:$a_7 = a + 6d = 9$ $...(2)$Subtracting equation $(1)$ from equation $(2)$:$(a + 6d) - (a + 2d) = 9 - 5$$4d = 4$$d = 1$Substituting $d = 1$ in equation $(1)$:$a + 2(1) = 5$$a = 3$The $AP$ is given by $a, a+d, a+2d, a+3d, \dots$Substituting the values,we get $3, 3+1, 3+2, 3+3, \dots$,which is $3, 4, 5, 6, \dots$

Determine the $AP$ whose $3^{rd}$ term is $5$ and the $7^{th}$ term is $9$.

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