1AH1 (Page No. 1)

BAPAT CLASSES

Standard: 10 Test No: 1AH1 Marks: 30

Portion: Arithmetic Progression Time: 70 min.

Subject: Algebra Test Type: Home Assignment Page(s): 1

Q.1 (Group A: 2 marks each) 6 Marks

(1) If for an A.P., t3 = 6 and t7 = - 6, Find a, d and tn

(2) Find the 27th term and the nth term of the A.P., 5, 2, -1, -4,

(3) For an A.P., If t8 = 36, Find S15.

Q.2 (Group B: 3 marks each) 12 Marks

(1) For an A.P., the nth term is 3

12 n. Find S22.

(2) There are 51 terms in an A.P., a = 3 and t51 = 58. Find t29 and S51.

(3) A sum of Rs.3900 is paid off in 12 installments, each installment being Rs.10

more than the preceding one. Find the first and the last installments.

(4) A devotee puts 2 flowers on the first step of the stair leading to the temple. Then

he puts 3 more flowers on every succeeding step. If the stair has 15 steps, how

many flowers in all did he put on the steps?

Q.3 (Group B: 4 marks) 4 Marks

If the 15th term of an A.P., is twice its 7

th term, show that the 14

th term is thrice the

4th

term.

Q.4 (Group C: 5 marks each) 8 Marks

(1) Divide 20 into four parts which are in A.P., and such that the product of the first

and fourth is to the product of the second and third in the ratio of 2 to 3.

(2) The sum of p terms of an A.P., is q, and the sum of q terms is p.

Find the sum of p + q terms.