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6 September, 22:56

Find that 10th term of each arithmetic sequence

1). A4=12 and A7=20.4

2.) A3=37 and A17=-12

3.) A13=-5 and A18=-51

4.) A25=18 and A41=62

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Answers (1)
  1. 6 September, 23:08
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    1.

    4th term = a1 + 3d = 12 (where a1 = first term and d = common difference.)

    7th term = a1 + 6d = 20.4

    subtract 4th from 7th term, we get:-

    3d = 8.4

    d = 2.8

    So 10th term = 7th term + 3 (common difference)

    = 20.4 + 3 (2.8)

    = 20.4 + 8.4

    = 28.8 (answer)

    All the rest can be answered in the same way.
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