Question

arithmetic progression

Answer 1

In mathematics, an arithmetic progression (AP) or arithmeticsequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15 etc.

Answer 2

Here is the complete question:

An arithmetic progression or ap is a sequence where the difference between two successive terms is always a constant.The sum of 3 consecutive terms of an ap is 27 and the product of these 3 terms is 704.The first term of this ap is

Let 3 consecutive terms in an A.P are and, a, a+d

By 1st condin

a - d + a + a + d = 27

3 a  = 27

a = 27/3

a = 9

By 2nd condin

(a-d) (a) (a+d) = 504

(g-d) x g x (g+d) = 504

(g-d) (g+d) = 504/g

(g-d) (g+d) = 56

(g)² - (d)² = 56

d² = 56 - 81

d² = 25

d² = 25

Taking square root

d = + - 5