You visited us 1 times! Enjoying our articles? Unlock Full Access!

Types of Brackets

If the number...

Question

If the numbers $a, b, c$ are in A.P then the value of $a - 5 b + 4 c$ equals to

c + b - 2 a

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 3 b

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 b

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $c + b - 2 a$
If $a, b, c$ are in A.P, lets assume the common difference is $d$ .
Therefore $b = a + d, c = a + 2 d$ .
Then $a - 5 b + 4 c$ can be written as $a - 5 (a + d) + 4 (a + 2 d)$
$= a - 5 a - 5 d + 4 a + 8 d$
$= 3 d$
$= 2 a - 2 a + 3 d$
$= (a + d) + (a + 2 d) - 2 a$
$= c + b - 2 a$

Suggest Corrections

Similar questions

2 \to a + 3 \to b + 4 \to c = 0 \Rightarrow \to a \times \to b + \to b \times \to c + \to c \times \to a =

If a, b, and c are nonzero real numbers such that ab = 2 (a + b), bc = 3( b + c) and ca = 4 (c + a) then the value of 5a + 7b + c is :

a^{2} + b^{2} + c^{2} = 2 (a - b - c) - 3

2 a - 3 b + 4 c

a, b, c

4 a, 5 b

4 c

a + b + c = 70,

| c - a |

a, b

c

a b = 2 (a + b) b c = 3 (b + c)

c a = 4 (c + a)

5 a + 7 b + c

Join BYJU'S Learning Program