Question

The nth term of an ap is 3n+5. Find its common differcnce

Answer 1

Answer:

$Common\: difference (d)=3$

Step-by-step explanation:

$n^{th} \:term \:of \:A.P(a_{n}) \\= 3n+5$

$common\: difference (d)\\=a_{n}-a_{n-1}\\=(3n+5)-[3(n-1)+5]\\=3n+5-(3n-3+5)\\=3n+5-3n+3-5\\=5+3-5\\=3$

Therefore,

$Common\: difference (d)=3$

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