Question

1. The arithmetic mean of 71 and 23 is
2. Sum of the four arithmetic means between 3 and 23 is
Irrelevant answers will be reported.

Answer 1

1.

➣ Arithmetic mean = $\boxed{\bf{\color{yellw}{\: \frac{a \: + \: b \: }{2} }}}$

➣ A.M = ${\bf{\color{yellw}{ \: \frac{71 \: + \: 23 \: }{2} }}}$

➣ A.M = ${\bf{\color{yellw}{ \: \frac{ \: 94 \: }{2} }}}$

➣ A.M= 47

2.

Correct Question:-

Sum of the 14 arithmetic mean between 3 and 23 is

Solution:-

Given,

Number of A.M = 14

First term(a) = 3

Last term(b) = 23

➣ ${\bf{\color{yellw}{n \: \times \: \frac{a \: + \: b \: }{2} }}}$

➣ ${\bf{\color{yellw}{14 \: \times \: \frac{2 \: + \: 23 \: }{2} }}}$

➣ ${\bf{\color{yellw}{14 \: \times \: \frac{ \: 25 \: }{2} }}}$

➣ 175

Note:- Sum of " n " A.M between a and b is n(a + b/2)

Answer 2

Step-by-step explanation:

1.

➣ Arithmetic mean = \boxed{\bf{\color{yellw}{\: \frac{a \: + \: b \: }{2} }}}

2

a+b

➣ A.M = {\bf{\color{yellw}{ \: \frac{71 \: + \: 23 \: }{2} }}}

2

71+23

➣ A.M = {\bf{\color{yellw}{ \: \frac{ \: 94 \: }{2} }}}

2

94

➣ A.M= 47

2.

Correct Question:-

Sum of the 14 arithmetic mean between 3 and 23 is

Solution:-

Given,

Number of A.M = 14

First term(a) = 3

Last term(b) = 23

➣ {\bf{\color{yellw}{n \: \times \: \frac{a \: + \: b \: }{2} }}}n×

2

a+b

➣ {\bf{\color{yellw}{14 \: \times \: \frac{2 \: + \: 23 \: }{2} }}}14×

2

2+23

➣ {\bf{\color{yellw}{14 \: \times \: \frac{ \: 25 \: }{2} }}}14×

2

25

➣ 175

Note:- Sum of " n " A.M between a and b is n(a + b/2)