which of the following are APS if they form an ap find the common difference d and write three more terms 3,3+√2,3+2√2,3+3 √2,-…​

Question

which of the following are APS if they form an ap find the common difference d and write three more terms 3,3+√2,3+2√2,3+3
√2,…….​

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Alice 2 weeks 2021-09-14T08:04:03+00:00 1 Answer 0 views 0

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    2021-09-14T08:05:50+00:00

    Answer:

    3+3+√2,3+2√2,3+3√2

    here,

    a2-a1=3+√2-3=√2

    a3-a2=(3+2√2)-(3+√2)=√2

    a4-a3=(3+3√2)-(3+2√2)=√2

    an+1-an is same every time.

    therefore, d=√2 and given numbers are in A.P

    Three more terms are

    a5=(3+√2)+√2=3+4√2

    a6=(3+4√2)+√2=3+5√2

    a7=(3+5√2)+√2=3+6√2

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