Question

What will be the value of a8- a4 for the following AP
4,9 14,............254.​

Answer 1

$\sf Arithmetic \ Sequence\ = 4,914,.......254\\\\\sf First \ term = 4\\\\\sf Second \ term = 9\\\\\sf \bf Common \ difference = 9-4=5\\\\\sf\boxed{ a_{n}=a+(n-1)d }\\\\\sf a_{8} = 4+(8-1)5=4+35=39\\\\ \sf a_{4} = 4+(4-1)5=4+15=19\\\\\sf \longrightarrow a_{8}- a_{4} =39-19\\\\\sf\bf \longrightarrow a_{8}- a_{4}=20$

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