Question

find 25th term of an AP -5,-5/2,0,5/2 ....

Answer 1

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Answer 2

Answer:

The 25th term of the AP is 55.

Step-by-step explanation:

The given AP is

-5,-5/2,0,5/2 ....

Here the first term is -5 and the common factor is

$d=\frac{-5}{2}-(-5)=\frac{5}{2}$

The nth term of an AP is

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

The 25th term of AP is

$a_{25}=-5+(25-1)\frac{5}{2}$

$a_{25}=-5+(24)\frac{5}{2}$

$a_{25}=-5+60$

$a_{25}=55$

Therefore, the 25th term of the AP is 55.