1AH2 (Page No. 1)

Q.1 6 Marks

(1) Find the first term, if d = -2 and t15 = -25

(2) Find the 10th term of the A.P. – 18, - 16, - 14, - 12, …

(3) In the A.P. 7, 14, 21, … How many terms are to be considered for getting sum

5740.

Q.2 12 Marks

(1) The sum of the first four terms of an AP is 24 and the sum of next four terms is

56. Find the A.P.

(2) For an A.P., t3 = 13 and t8 = 33. Find t15

(3) Find the A.P. whose third term is 16 and seventh term exceeds its fifth term by

12.

(4) If the fifth term of an A.P is zero, show that its 33rd term is four times its 12th

term.

Q.3 4 Marks

Find the 20th term from the last term of the A.P. 3, 8, 13, … 253.

Q.4 8 Marks

(1) The sum of first `n’ terms of an A.P. is 3n + n2 then, (i) find first term and sum of

first two terms, (ii) find second, third and 15th term.

(2) If the sum of p terms of an A.P. is equal to the sum of q terms then show that the

sum of its p + q terms is zero.

BAPAT CLASSES® Standard: 10 Test No: 1AH2 Marks: 30 + 5 = 35

Subject: Algebra Portion: Ch.No.1 Home Assignment Time: 70 min.