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Federal (FBISE) · Chapter test · Free

9th Class General Math Chapter 7 Test07. Arithmetic and Geometric Sequences

30 marks · 40 minutes · 21 questions. Covers: 07. Arithmetic and Geometric Sequences.

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9th Class General Math Chapter 7 Test

9th Class · General Math · Federal (FBISE)

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

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

  1. Next term of 12,16,21,27 is
    1. 34
    2. 30
    3. 31
    4. 32
  2. In a multiplicative series, an is equal to
    1. arn
    2. arn⁺¹
    3. arn⁻¹
    4. arn⁻²
  3. For 2,6,11,17,..... , a₅ is
    1. 24
    2. 30
    3. 21
    4. 22
  4. A sequence of numbers in which the previous sum is obtained by adding a common value "d" to the next sum. It is called
    1. A.M series
    2. Multiplicative series
    3. A.M middle
    4. G.M series
  5. -4,-7,-10, ........... when will a₁₉ be the number?
    1. -55
    2. -58
    3. -59
    4. -61
  6. The general term or nth term of a series is expressed.
    1. an₋₁
    2. an₊₁
    3. a₂n₋₁
    4. an
  7. If n=18, d=-3, an=81, what will be the value of a?
    1. 130
    2. 131
    3. 132
    4. 133
  8. a₅ of 2,6,18, ...... is
    1. 160
    2. 161
    3. 162
    4. 30
  9. If there is a last sum in a series, then it is called a series.
    1. limited
    2. Unlimited
    3. Unreal
    4. All this
  10. If there is no last amount in a series, then it is called a series.
    1. Limited
    2. Unlimited
    3. Unreal
    4. All this

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

  1. Insert three G.Ms between 1 to 16 1 \text{ to }16
  2. Insert two G.Ms between 3 to 81 3 \text{ to } 81
  3. Find the missing elements of the G.P: r=12, an=14, a=128 r = \frac{1}{2}, \, a_n = \frac{1}{4}, \, a = 128
  4. Find the terms indicated in the following sequence. 1, 3, 12, 60, …, a7 1,\ 3,\ 12,\ 60,\ \dots,\ a_7
  5. Write the first three terms of the following. an=(−1)nn3 a_n = (-1)^n n^3
  6. Write the first three terms of the following. an=n+3=2 a_n = n + 3 =2
  7. Find the missing element using the formula of A.P d=−3,an=81,n=18 d = -3 , a_n = 81 , n = 18
  8. Which term of an A.P 6, 2, -2, ............ is -146?

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

  1. If"a4=827,a7=−64729 a_4 = \frac{8}{27}, \quad a_7 = \frac{-64}{729} in G.P. Find
  2. Find three consecutive numbers in G.P, whose sum is 26 and their product is 216.
  3. Insert four real G.Ms between 3 and 96 3\text{ and }96