Fill in the blanks in the following table, given that a is the first term, d the common difference and an is the nth term of the AP:

(i) a=7, d=3, n=8, an=?
We know that, For an A.P. an=a+(n−1)d = 7+(8−1)3 = 7+(7)3 = 7+21 = 28
Hence, an=28
(ii) Given that a=−18, n=10, an=0, d=?
We know that, an=a+(n−1)d
0=−18+(10−1)d
18=9d
d=18/9=2
Hence, common difference, d=2
(iii) Given that d=−3, n=18, an=−5
We know that, an=a+(n−1)d
−5=a+(18−1)(−3)
−5=a+(17)(−3)
−5=a−51
a=51−5=46
Hence, a=46
(iv) a=−18.9, d=2.5, an=3.6, n=?
We know that, an=a+(n−1)d
3.6=−18.9+(n−1)2.5
3.6+18.9=(n−1)2.5
22.5=(n−1)2.5
(n−1)=22.5/2.5=9
n−1=9
n=10
Hence, n=10
(v) a=3.5, d=0, n=105, an=?
We know that, an=a+(n−1)d
an=3.5+(105−1)0
an=3.5+104×0
an=3.5