AI Mentor

Check Your IQ

Free Expert Demo

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

Among the choices, find the sum of the first 100 even natural numbers which are divisible by 5.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

50,555

50,500

55,555

55,550

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

We know that, the first 100 even natural numbers that are completely divisible by 5 are:
10, 20, 30,…
The above numbers are in the form of an AP.
So,

a 1 = a = 10 d = 10 n = 100

The formula that gives the sum of the n terms is,

S n = n 2 [2 a + (n − 1) d]

.
Substitute the known values in the above formula.

S 100 = 1002 [2 (10) + (100 − 1) (10)]

= 50 [20 + 990] = 50, 500

The sum of the first 100 even natural numbers that are divisible by 5 is 50,500.
Hence, option 4) is correct.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!