If a,8,11,b are in A.P,then value of a+b is
Option
A.19 B.5 C.14 D.25
Answers
The required 'option A) 19' is correct.
Step-by-step explanation:
Given,
a, 8, 11, b are the terms of an AP.
Here, first term = a, second term = 8, third term = 11 and fourth term = b
To find, the value of a + b = ?
We know that,
Common difference (d) = Second term - First term = Third term - Second term = Fourth term - Third term
∴ 8 - a = 11 - 8 = b - 11
⇒ 8 - a = 3 = b - 11
∴ 8 - a = 3 and 3 = b - 11
⇒ 8 - a = 3
⇒ a = 8 - 3 = 5
and 3 = b - 11
⇒ b = 3 + 11 = 14
∴ a + b = 5 + 14 = 19
Thus, the required 'option A) 19' is correct.
Answer:
The required 'option A) 19' is correct.
Step-by-step explanation:
Given,
a, 8, 11, b are the terms of an AP.
Here, first term = a, second term = 8, third term = 11 and fourth term = b
To find, the value of a + b = ?
We know that,
Common difference (d) = Second term - First term = Third term - Second term = Fourth term - Third term
∴ 8 - a = 11 - 8 = b - 11
⇒ 8 - a = 3 = b - 11
∴ 8 - a = 3 and 3 = b - 11
⇒ 8 - a = 3
⇒ a = 8 - 3 = 5
and 3 = b - 11
⇒ b = 3 + 11 = 14
∴ a + b = 5 + 14 = 19
Thus, the required 'option A) 19' is correct.