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145**What is Arithmetic progressions ?**

**How to form the sequence of an AP?**

**Definition of Sequence with example .**

**Theorem:-Let a be the first term and d be the common difference of an AP. Then its nth term and general term is given by `a_n=a+(n-1)d`**

**Find the nth term of an AP from the end**

**Find the middle term(s) of a finite AP**

**If the 8th term of an AP is 31 and the 15th term of an AP is 16 more than the 11th term . find the AP.**

**Selection of terms in an AP**

**Theorem: The sum of nth terms of an AP with first term a and common difference d is `S_n=n/2(2a+(n-1)d)`**

**The sum of first 6 terms of an arithmetic progression is 42. The ratio of its 10th term to its 30th term is `1:3`. Calculate the first and 13th term of an AP.**