Question

74. The five numbers in AP with their sum 25 and the
sum of their squares 135 are
(a) 3, 4, 5, 6, 7
(b) 3, 3.5, 4, 4.5, 5
(C) -3, 4, -5, -6, -7
(d) -2, -3.5, 4, 4.5, -5
​

Answer 1

Answer:

option a us the correct option .

Step-by-step explanation:

hope you like it

Answer 2

Answer:

a

Step-by-step explanation:

Let the numbers lee

a-2d,a-d,a,a+d,a+2d.

⇒a−2d,+a−d+a+a+a+a+2d=25

⇒5a=25⇒a=5

[(a−2d)2+(a−d)2+a2(a+d)2+(a+2d)2]=135

⇒(5−2d)2+(5d)2+(5+d)2(5+2d)2=135

[(a+b)2+(a−b)2=2(a2+b2)]

⇒2(25+4d)2+2(25+d)2=110

⇒25+4d2+25+d2=55

⇒5d2=5

⇒d2=1   d=±1

Numbers =3,4,5,6,7 or 7,6,5,4,3