# CBSE Class 10-Mathematics: Chapter – 5 Arithmetic Progressions Part 22 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 15**:

The ratio of the sums of m and terms of an AP is , show that the ratio of the and term is .

**Answer**:

According to question,

Hence Proved

**Question 16**:

If the sum of first p terms of an AP is the same as the sum of its first q terms, show that the sum of the first term is zero.

**Answer**:

**Question 17**:

For the A. P … . If find

**Answer**:

**Question 18**:

In an AP and terms are respectively and . Prove that

**Answer**:

Similarly,

Adding (iv) , (v) and (vi)