From science to arts, IDNLearn.com has the answers to all your questions. Our community is here to provide detailed and trustworthy answers to any questions you may have.

Find the sum of odd numbers which are divisible by 3 and lie between 1 and 500

Sagot :

Answer:

20,667.

Step-by-step explanation:

This is an arithmetic series:

3 + 9 + 15 + 21 + 27+ ...........+ 495

First term = 3 and common difference = 6.

Number of terms = ( 495 - 3 )/6 + 1

= 83.

So Sn = n/2(a1 + l)      where a1 = first term and l = last term

S83 = 83/2(3 + 495)

= 41.5 * 498

= 20,667.

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.