What is the common difference of an AP in which

Question:

What is the common difference of an AP in which $a_{27}-a_{7}=84 ?$

Solution:

$a_{27}=a+26 d$

$a_{7}=a+6 d$

And

$a_{27}-a_{7}=84$

$\Rightarrow a+26 d-a-6 d=84$

$\Rightarrow 20 d=84$

$\Rightarrow d=\frac{21}{5}=4.2$

 

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