# CBSE Class 10-Mathematics: Chapter – 5 Arithmetic Progressions Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 6**:

Find the sum of all 3-digit numbers which leave remainder 3 when divided by

**Answer**:

**Question 7**:

Find the value of if are consecutive terms of an AP.

**Answer**:

Or

**Question 8**:

Raghav buys a shop for ₹ . He pays half the balance of the amount in cash and agrees to pay the balance in 12 annual installments of ₹ each. If the rate of interest is and he pays with the installment the interest due for the unpaid amount. Find the total cost of the shop.

**Answer**:

Amount of I installment

II installment

III installment

is

Cost of shop

**Question 9**

Prove that

**Answer**:

Add 1 & 2

Hence proved

**Question 10**:

If the roots of the equation are equal show that a, b, b, c are in AP.

**Answer**:

Refer sum No. 12 of Q. E.

If have equal root

Proceed as in sum No. 13 of Q. E. to get