Question

what is general form of an AP​

Answer 1

Answer:

ARITHMETIC PROGRESSION

Answer 2

Basic Concept required to build up a general format for an AP:

• An AP is an abbreviated form for Arithmetic Progression.
• In an AP the difference between it's consecutive terms remains constant.

Let's try and build up a general format for an AP.

★ Let first term of our general AP is 'a'

★ Let the constant difference between it's consecutive terms is 'd.

Thus, It's first term = a

It's second term = a+d

It's third term = a+d+d = a + 2d

It's fourth term = a+d+d+d = a + 3d

and so on........

Hence, from the above pattern it is clear that a general format for an AP is:

AP = a, a+d, a+2d, a+3d, .........., a+(n-1)d.

Additional Information about an AP:

• nth term = a + (n-1)d
• Sum of n terms = n/2{2a + (n-1)d}
• Sum of n terms = n/2(a+l), where l is last term of the given AP.