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Class 11 Mathematics · Chapter 6 · Test 4

Geometric Progression

50 MCQs This test covers G.P. definitions, the nth term formula, G.P. properties, finding terms, and number problems using G.P. and A.P. conditions.

MCQs

50 questions · 40 min · 50 marks

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Sample questions

The first 5 of 50. Try each one, then tap to see the answer.

  1. Question 1

    In a G.P. each term after the first is obtained by multiplying the previous term by a nonzero constant called the

    • Acommon difference
    • Bcommon ratio
    • Carithmetic mean
    • Dgeometric mean
    Show answer

    Answer: B

    That constant multiplier is the common ratio r.

  2. Question 2

    The common ratio of a G.P. is found by

    • Aadding two consecutive terms
    • Bsubtracting a term from the next term
    • Cdividing any term by its previous term
    • Dmultiplying two consecutive terms
    Show answer

    Answer: C

    r = a_n/a_(n-1).

  3. Question 3

    The nth term of a G.P. with first term a_1 and common ratio r is

    • Aa_1 + (n - 1)r
    • Ba_1 r^n
    • Ca_1 n r
    • Da_1 r^(n-1)
    Show answer

    Answer: D

    a_n = a_1 r^(n-1).

  4. Question 4

    The common ratio of the G.P. 81, 27, 9, ... is

    • A1/3
    • B3
    • C-3
    • D1/9
    Show answer

    Answer: A

    27/81 = 1/3.

  5. Question 5

    The 6th term of the G.P. 2, 4, 8, ... is

    • A32
    • B48
    • C64
    • D128
    Show answer

    Answer: C

    a_6 = 2(2)^5 = 64.

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