Question

Find the missing terms in the AP______, 3,_______, -5.

• A. 7, 1
• B. -7, 1
• C. 7, -1
• D. -7, -1

Answer 1

The correct option is C

7, -1

Let the first term of the AP be a and the common differenece be d.
We know that $a_2=3and{a}_4=-5$
3 = a + d ....(i)
-5 = a +3d ...(ii)
equation (i) - equation (ii) gives,
8 = -2d
d = - 4
The first missing term is equal to
$a_2-d=3-d=3-(-4)=7$
The second missing term is equal to
$a_2+d=3+d=3+(-4)=-1$