Answer:
Option (b) -1.2, -3.2,-5.2,-7.2,….. <u>is AP</u>
The common difference = -2
3 more terms are ⇒ -9.2 , -11.2 , -13.2
Option (c) 2, 5/2 ,3, 7/2….. <u>is AP</u>
the common difference = 1/2
3 more terms are ⇒ 4 , 9/2 , 5
Step-by-step explanation:
AP ⇒ arithmetic progression is a sequence of numbers provide that the difference of any two successive members is a constant.
So, we will check the options:
• (a) 2,4,8,16……
The difference between 2 , 4 = 4 - 2 = 2
The difference between 4 , 8 = 8 - 4 = 4
<u>So, option a is not AP</u>
• (b) -1.2, -3.2,-5.2,-7.2,…..
The difference between -1.2 , -3.2 = -3.2 - (-1.2) = -3.2 + 1.2 = -2
The difference between -3.2 , -5.2 = -5.2 - (-3.2) = -5.2 + 3.2 = -2
<u>So, option b is AP</u>
<u>The common difference</u> = -2
<u>3 more terms are</u> ⇒ -9.2 , -11.2 , -13.2
• (c) 2, 5/2 ,3, 7/2…..
The difference between 2 , 5/2 = 5/2 - 2 = 1/2
The difference between 5/2 , 3 = 3 - 5/2 = 1/2
So, option c is AP
<u>The common difference</u> = 1/2
<u>3 more terms are</u> ⇒ 4 , 9/2 , 5
• (d) -10,-6,-2.2, ……
The difference between -10 , -6 = -6 - (-10) = -6+10 = 4
The difference between -6 , -2.2 = -2.2 - (-6) = -2.2 + 6 = 3.8
So, option d is not AP
<u>So, the options that form an AP are b and c</u>
