What is the 52nd term of the series 4, 10, 16, 22, …

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The series given has the terms 4, 10, 16, 22...

It is seen that 22- 16 = 16 - 10 = 10 - 4 = 6. This is an arithmetic series with the first term equal to 4 and the common difference equal to 6.

The nth term of an arithmetic series with the first term a and common difference d is `T_n = a + (n - 1)*d`

`T_52 = 4 + 51*6 = 310`

The 52nd term of the series 4, 10, 16, 22... is 310.

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