In the following APs, find the missing terms in the boxes:
$\square, 13, \square, 3$
Given:
Given AP is $\square, 13, \square, 3$
To do:
We have to find the missing term in the box.
Solution:
$a=13$
We know that,
$a_{2}=a+(2-1) d$
$a+d=13$......(i)
$a_{4}=3$
$a_{4}=a+(4-1) d$
$a+3 d=3$.........(ii)
Subtracting (i) from (ii), we get,
$a+3d-a-d=3-13$
$2d=-10$
$d=\frac{-10}{2}$
$d=-5$
This implies,
$a+d =13$
$a+(-5)=13$
$a=13+5$
$a=18$
$a_{3}=a+2 d$
$=18+2(-5)$
$=18-10$
$=8$
Related Articles
- In the following APs, find the missing terms in the boxes:$-4, \square, \square, \square, \square, 6$
- In the following APs, find the missing terms in the boxes:$\square, 38, \square, \square, \square, -22$
- In the following APs, find the missing terms in the boxes:$5, \square, \square, 9\frac{1}{2}$
- In the following APs, find the missing terms in the boxes:(i) $2, \square, 26$(ii) $\square, 13, \square, 3$(iii) $5, \square, \square, 9\frac{1}{2}$(iv) $-4, \square, \square, \square, \square, 6$(v) $\square, 38, \square, \square, \square, -22$
- Find the number of terms in each of the following APs:$18, 15\frac{1}{2}, 13, …, -47$
- Find the number of terms in each of the following APs:(i) $7, 13, 19, …, 205$(ii) $18, 15\frac{1}{2}, 13, …, -47$
- Using square root table, find the square roots of the following:7
- Using square root table, find the square roots of the following:15
- Using square root table, find the square roots of the following:74
- Using square root table, find the square roots of the following:82
- Using square root table, find the square roots of the following:198
- Using square root table, find the square roots of the following:540
- Using square root table, find the square roots of the following:8700
- Using square root table, find the square roots of the following:3509
- Using square root table, find the square roots of the following:6929
Kickstart Your Career
Get certified by completing the course
Get Started