Question

if the common difference of an ap is 5 then find the value of a18-a13

Answer 1

let a = 1 , 2
putting value of a
18-13=15
putting a = 2
36-26=10
I hope you understand this

Answer 2

$\huge{\underline{\underline{\blue{\mathfrak{Answer :}}}}}$

$\huge{\underline{\bf{Given \: :}}}$

⟹ Common difference = 5

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$\huge{\underline{\bf{To \: Find \: :}}}$

$\sf{a_{18} \: - \: a_{13}}$

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$\huge{\underline{\bf{Solution \: :}}}$

$\sf{a _{18} - a_{13}} \\ \\ \sf{ \leadsto \: a + 17d \: - (a \: + \: 12d)} \\ \\ \sf{ \leadsto \: \cancel{a} + 17d \: \cancel{- a }\: - 12d} \\ \\ \sf{ \leadsto \: 17d - 12d} \\ \\ \sf{ \leadsto \: 5d}\\ \\ \bf{putting \: d \: as \: 5} \\ \\ \sf{ \leadsto \: 5(5)} \\ \\ \sf{ \leadsto \: 25}$

$\large{ \boxed{ \orange{ \sf{a_{18}-a{13} = 25}}}}$