Question

If the numbers a,b,c are in the A.P.,then:*
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Answer 1

Answer:

If the numbers a, b, c are in arithmetic progression, then 2b = a + c.

Extra Information:

The arithmetic mean A of any two numbers a and b is given by $\frac{a+b}{2}$, where a, b and A are in A.P.

Sum of n terms of an AP is given by $S_n\;=\;\frac{n}{2}[2a+(n-1)d]$ and $S_n\;=\;\frac{n}{2}[a+l]$ where we have a as the first term, l as the last term and d as the common difference.

A sequence is called an A.P if the difference between any two consecutive terms is the same.

A.P is in the form a, a + d, a+ 2d, a + 3d... where a is the first term and d is common difference.

General term of an A.P is given by $T_n\;=\;a+(n-1)d$ where a is the first term and n is the term number and d is the common difference.