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

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Expert Answers

jeew-m | Certified Educator

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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