Question

find 25th term of an ap -5,-5÷2,0, 5÷2

Answer 1

first term of the ap is -5
common difference is 1/2
so by the formula
a+(n-1)d=nth term
-5+(24)×1/2
-5+12
7

Answer 2

$\huge{\underline{\underline{\blue{\mathfrak{Answer :}}}}}$

$\Large{\underline{\bf{Given \: :}}}$

A.P : -5, -5/2, 0, 5/2 ...........

First term = -5

Common Difference = 2.5

____________________________

$\Large{\underline{\bf{To \: Find \: :}}}$

25th term of the A.P

____________________________

$\Large{\underline{\bf{Solution \: :}}}$

We know that,

$\Large{\leadsto{\boxed{\boxed{\orange{\sf{A_{n} = a + (n - 1)d}}}}}}$

(Putting Values)

In above formula we have to put n as 25 because we have to find the 25th term.

So,

$\sf{ \leadsto \: a_{25} = - 5 + (25 - 1) \times 2.5} \\ \\ \sf{ \leadsto \: a _{25} = - 5 + (24)2.5 } \\ \\ \sf{ \leadsto \: a _{25} = - 5 + 60} \\ \\ \sf{ \leadsto \: a_{25} = 55 }$

$\large{\boxed{\purple{\sf{a_{25} = 55}}}}$

_______________________

#BAL

#answerwithquality