Question

find the difference of the 4th term and the 9th term of the AP: 14,9,4,-1,-2,....

Answer 1

Given :-

AP = 14, 9, 4, -1, -2 ...

Here,

First term = a = 14

Common difference = d = 9 - 14 = -

4th term = -1

Therefore 9th term of the AP = a + (n - 1)d

= a + (9 - 1)d

= a + 8d

= 14 + (8 × -5)

= 14 + (-40)

= -26

The 9th term of the given AP is -26.

Hence, the difference between 4th and 9th term is = -1 - (-26)

= -1 + 26

= 25

Thus, the difference between the 4th and 9th term of the given AP is 25.

Answer 2

$\huge{\mathfrak{</p><p><strong>Answer:</strong></p><p>}}$

$\large{\sf{A.P :- 14, 9, 4, -1, -2,.....}}$

$\large{\sf{a = 14}}$

$\large{\sf{d = 9 -14 = -5}}$

$\large{\sf{Fourth\:\:term \:=\: -1}}$

$\large{\sf{9 \: term = a \:+8d}}$

$\large{\sf{a\:\: 9\:\: = 14 +8(-5)}}$

$\large{\sf{9th\:\:14 - 40 \:= -26 }}$

$\huge{\bf{Difference :-}}$

$\large{\sf{Difference \:=\:-1-(-26)}}$

$\large{\sf{Difference\:=\:-1+26}}$

$\large{\sf{Difference\:=\: 25}}$

$\huge{\boxed{27\:Answer}}$