Skip to content
p.paperbanao.
Continue

Punjab (PTB) · Chapter test · Free

1st Year Mathematics Chapter 6 TestUNIT 6: Sequences and Series

30 marks · 40 minutes · 21 questions. Covers: UNIT 6: Sequences and Series.

Your school name

1st Year Mathematics Chapter 6 Test

1st Year · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. : (or sum of first n term):

  2. Sum of a term of G.P with first term "a" common ration 'r' is ......:

  3. A.M between  is:

    3. 10

  4. In an arithmetic series Sn equals to ......:

    1. Sn-1+an

    2. Sn-1-an

    3. Sn-1 x an

    4. None of these

  5. If  then interval of convergent is ......:

  6. The sum of n arithmetic mean between a and b is ......:

  7. If, then G=......:

    4. 4i

  8. The 9th term of the sequence 1,-3,5,-7 is:

    1. 15

    2. -15

    3. 17

    4. -17

  9. An arithmetic progression has a first term 12 and a fifth term 18 the sum of first 25 terms is:

    1. 400

    2. 350

    3. 750

    4. 150

  10. For an infinite geometric series for which (r)<1, Sn=? where N=infinite:

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. A sum of Rs. 10400 is paid off in 40 installment such that each installment is Rs. 10 more than the preceding installment. Calculate the value of the first installment.

  2. Write down the nth term of the following sequence:

  3. If 6,11,16 are three A.Ms between a and b, find a and b.

  4. Sum the series: 3+5-7+9+11-13+15+17-19+... to 3n terms.

  5. If the 5th term of an A.P is 13 and 17th term is 49, find an, and a13,.

  6. Write down the nth term of the following sequence: a1, a1+d, a1+2d, ...

  7. Write down the nth term of the following sequence: 1,1+2, 1+2+3,...

  8. Find four number in A.P whose sum is 32 and the sum of whose square is 276.

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Find the sum of the series 13+33+53+... to n terms.

  2. Insert four real geometric means between 3 and 96.

  3. The first, second and last terms of an A.P. are a,b and c respectively. Show that the sum of A.P is .