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The fourth term in an arithmetic sequenc...

The fourth term in an arithmetic sequence is -20, and the eighth term is -10. What is the hundredth term in the sequence?

Text Solution

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The correct Answer is:
220
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Let A_6 be the sum of first six terms of an arithmetic sequence, and G_6 be the sixth term of a geometric sequence. Both sequences have the same first term, and the common difference of the arithmetic sequence equals the common ratio of the geometrical sequence, which is equal to two. If A_6/G_6=1/2, then G_6 - A_6 equals (i)1 (ii)3 (iii)48 (iv)144

Knowledge Check

  • The first term of an Arithmetic Progression is 22 and the least term is -11. If the sum is 66, the number of terms in the sequence is

    A
    A)10
    B
    B)12
    C
    C)9
    D
    D)8
  • What is the 10th term of the sequence 2,4 ,……….. ?

    A
    18
    B
    20
    C
    1024
    D
    can't be determined
  • What is the seventh term of the sequence 0,3,8,15,24 ?

    A
    63
    B
    48
    C
    35
    D
    33
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