Question

what is the first negative term of the arithemetic progression 35,30,25,...?

Answer 1

Answer:

This is the first negative term in the series. Hence, the 32nd term is the first negative term in AP.

Answer 2

$\huge\red\star{Given :-}$

The arithmetic progession is 35 , 30 , 25 .

$\huge\green\star{Find :-}$

Find the first negative term = ?

$\huge\red\star{Solution :-}$

35 , 30 , 25 , ........

a = 35 , d = -5

For a(n) be negative

a(n) < 0

a + (n-1)d < 0

35 + (n-1)*(5) < 0

For ans be negative

(n-1) (-5) > 35

5n > (40)

n > 40/5

n > 8

The next term is 9th

Hence , the first negative term is 9 .