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    Question

    The number of terms in the sequence 20, 25, 30,

    ….., 160 is:
    A 22 Correct Answer Incorrect Answer
    B 29 Correct Answer Incorrect Answer
    C 23 Correct Answer Incorrect Answer
    D 26 Correct Answer Incorrect Answer

    Solution

    Formula used: l = a + (n – 1)d Here, l = last term a = first term n = number of terms d = difference between two term (t – t ) Accordint to question, => d = t2 – t1 = 25 – 20 = 5 Let the number of terms be n. ⇒ 160 = 20 + (n – 1)5 ⇒ 140 = (n – 1)5 ⇒ n = 29 ∴ Number of terms = 29

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