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Terms of an A.P. are consecutive terms of a G.P.

This type of question, asked 2 times: 31 Jan 2024, 4 Apr 2024. All 2 questions below, oldest first.

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  1. Question 1

    31 Jan 2024

    159
    Let 2nd ,8th 2^{\text{nd~}},8^{\text{th~}} and 44th 44^{\text{th~}}, terms of a non-constant A.P. be respectively the 1st ,2nd 1^{\text{st~}},2^{\text{nd~}} and 3rd 3^{\text{rd~}} terms of G.P. If the first term of A.P. is 1 then the sum of first 20 terms is equal to-

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  2. Question 2

    4 Apr 2024

    72
    Let the first three terms 2,p2,p and qq, with q≠2q\neq 2, of a G.P. be respectively the 7th ,8th 7^{\text{th~}},8^{\text{th~}} and 13th 13^{\text{th~}} terms of an A.P. If the 5th 5^{\text{th~}} term of the G.P. is the nth n^{\text{th~}} term of the A.P., then nn is equal to

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