Question

Determine the ${10}^{th}$ term from the end of the A.P. $4,9,14,.....,254$.

Answer 1

Given

AP- $4,9,\mathrm{14........254}$

Last term of AP is $254$

Since it is been asked to find the 10th term from end; $a=254$

$d=-5,n=10$

$a_n=a+(n-1)d$

$a_n=254+(10-1)(-5)$

$a_n=254-45$

$a_n=209$