2. The 7th term of an A. P is 27 and the 12th term is 47, what is the sequence?

3 + 4 (n - 1)

Step-by-step explanation:

let r be the common differenc of the sequence

Term 12 - Term 7 = (12 - 7) r

then

47 - 27 = 5r

then

20 = 5r

then

r = 4

term 7 = term 1 + (7 - 1) r

then

27 = term 1 + 6r = term 1 + 24

then

Term1 = 27 - 24 = 3

therefore

the standard explicit formula of the sequence is:

term 1 + (n - 1) r = 3 + 4 (n - 1)