What is the common difference of an AP if the first term is 2 and the fifth term is 14 ?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

For an arithmetic progression, the nth term is given by: a + (n - 1)*d , where a is the first term and d is the common difference.

Here the first term is given as 2 and we have the fifth term as 14

So we have 14 = 2 + (5 - 1)*d

=> 14 = 2 + 4d

=> 14 - 2 = 4d

=> 12 = 4d

=> d = 3

The required common difference is 3.

Approved by eNotes Editorial Team

Posted on

Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial