Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Is the following statement true or false?

If the list $12, 32, 52, 72, ...$ . is an AP then its common difference is 20 and the next three numbers are 92, 112, and 132.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given, the numbers

12, 32, 52, 72, ...

.
The formula for common difference,

d = a n − a n − 1

.
The common difference between the first and second term is,

⇒ a 2 − a 1 = 32 − 12 ⇒ a 2 − a 1 = 20

The common difference between the second and third term is,

⇒ a 3 − a 2 = 52 − 32 ⇒ a 3 − a 2 = 20

The common difference between the third andd fourth term is,

⇒ a 4 − a 3 = 72 − 52 ⇒ a 4 − a 3 = 20

We can see that the common difference is the same every time thus, the given numbers form an A.P.
Substituting

a 4

=72 and d=20 in the equation

a 5 = a 4 + d

⇒ a 5 = 72 + 20 ⇒ a 5 = 92

Substituting

a 5

=92 and d=20 in the equation

a 6 = a 5 + d

⇒ a 6 = 92 + 20 ⇒ a 6 = 112

Substituting

a 6

=112 and d=20 in the equation

a 7 = a 6 + d

⇒ a 7 = 112 + 20 ⇒ a 7 = 132

Thus the numbers form an A.P with d=20 and the next three terms are 92, 112, and 132.
So the given statement is true.
Therefore the correct option is 1.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!