Question

Three arithmetic means between 5 and 25 are
respectively.​

Answer 1

Answer:

$\sqrt{25 \times 5 = 125 = (5)}$

5 is the answer of the question

Answer 2

Given,

a = 2

a5 = 25

To Find,

Three arithmetic means between 5 and 25

Solution,

a = 5 and a5 = 25

From the formula of the nth term in A.P. is $a_n = a+(n-1)d.$

$a = 5$ (Given)

$a_5 = a + (5-1)d$

$a_5=25 = 5+ 4d$

$4d = 25 - 5$

$d = 20/4 =5$

Therefore, the common difference(d) is 5

$a_2 = a +(2-1)d = 5 + 1*(5)$

$a_2 = 10$

Similarly,

$a_3 = a + (3-1)d = 5 + 2*(5)$

$a_3 = 15$

$a_4 = a + (4-1)d = 5 + 3*(5)$

$a_4 = 20$

Hence,  arithmetic means between 5 and 25 are 10, 15 and 20.