ARITHMETIC
PROGRESSIONS
sequence
3) In the following APs, find the missing terms in the boxes :
i) 2, , 26
Sol:
a and a3 are given
a = 2,
a3 = 26,
We know that,
a3 = a + 2d
∴ 26
= 2
+ 2d
∴ 26 – 2
= 2d
∴ 24
= 2d
= d
∴ 12
= d
a2 = a + d
= 2
+ 12
= 14
∴ a2
2, 14 , 26
Now, lets find a2
We need to find a2
For given value of a3
Exercise 5.2 3(i)