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Find the 10th term of an arithmetic sequence if t1 = 2.1 and t4 = 1.83. ``

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cstavro | (Level 3) eNoter

Posted September 17, 2013 at 7:36 PM via web

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Find the 10th term of an arithmetic sequence if t1 = 2.1 and t4 = 1.83.

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted September 17, 2013 at 8:13 PM (Answer #1)

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According to the given data;

`T_1 = a = 2.1`

`T_4 = 1.83`

nth term of a arithmetic series is given by;

`T_n = a+(n-1)d`

`T_4 = 2.1+(4-1)d = 1.83 `

`2.1+(4-1)d = 1.83`

`d = -0.09`

`T_10 = a+9d`

`T_10 = 2.1+9xx(-0.09)`

`T_10 = 1.29`

So the tenth term of the series is 1.29.

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