Which of the following terms are in AP for the given situation a) 51, 53, 55,…… b) 51, 49, 47,……… c) -51, -53, -55,….. d) 51, 55, 59,……..
Answers
Answer:
As shown below
Step-by-step explanation:
Given series are
a) 51, 53, 55....
b) 51, 49, 47...
c) -51, -53, -55...
d) 51, 55, 59..
here we need find which series in the form of AP
a) 51, 53, 55 ..
⇒ common ratio r of terms 53 - 51 = 2
55 - 53 = 2
⇒ 51, 53, 55.. are in AP
b) 51, 49, 47..
⇒common ratio r of the terms 49 - 51 = - 2
47 -49 = - 2
⇒ 51, 49, 47 ...are in AP
c) -51, -53, -55..
⇒ common ratio r of the terms -53 - (-51) = -53 + 51 = -2
-55 -(-53) = -55+53 = -2
⇒-51, -53, -55.. are in AP
d) 51, 55, 59..
⇒ common ratio r of the terms 55 - 51 = 4
59 -55 = 4
⇒51, 55, 59.. are in AP