Write the value of a30 − a10 for the A.P. 4, 9, 14, 19, ....


Write the value of $a_{30}-a_{10}$ for the A.P. $4,9,14,19, \ldots .$


In this problem, we are given an A.P. and we need to find $a_{30}-a_{10}$.

A.P. is $4,9,14,19 \ldots$


First term (a) = 4

Common difference of the A.P. (d

Now, as we know,

$a_{n}=a+(n-1) d$

Here, we find $a_{30}$ and $a_{20}$.


So, for $30^{\text {th }}$ term,

$a_{30}=a+(30-1) d$





Also, for $10^{\text {th }}$ term,

$a_{20}=a+(10-1) d$








Therefore, for the given A.P $a_{30}-a_{10}=100$.

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