Answer:
48
Step-by-step explanation:
The nth term of an AP is expressed as;
Tn = a+(n-1)d
Id 12th term is 32, hence;
T12 = a+11d
32 = a+11d ...1
If the 5th term is 18, then;
T5 = a+4d
18 = a + 4d ....2
Subtract 1 from 2;
32 - 18 = 11d - 4d
14 = 7d
d = 14/7
d = 2
From 1; 32 = a+11d
32 = a+ 11(2)
32 = a + 22
a = 32-22
a = 10
Get the 20th term
T20 = a+19d
T20 = 10 + 19(2)
T20 = 10 + 38
T20 = 48
Hence the 20th term is 48
