Find the $5^{th}$ term from the end of the A.P. 10, 7, 4, ....., -65.

Given: An A.P. $10,\ 7,\ 4,\ .....,\ -65$.

To do: To find the $5^{th}$ term from the end of the A.P.

Solution: 

Given A.P. is $10,\ 7,\ 4,\ .....,\ -65$.

Here, First term $a=10$

Common difference $d=-3$

Last term $l=-65$ 

$n=5$

Its $5^{th}$ term from the end $=l-( n-1)d$

$=-65-( 5-1)( -3)$

$=-65-( 4)( -3)$

$=-65+12$

$=-53$

Thus, the $5^{th}$ term from the end of A.P. is $-53$.

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Updated on: 10-Oct-2022

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