Saturday, June 14, 2014

Find the 20th term of the arithmetic progression 3,8,13,18,...

The series 3, 8, 13, 18, ... is an arithmetic progression.
In an AP the difference between two consecutive terms is constant. For the given series
it is 18 - 13 = 13 - 8 = 8 - 3 = 5


The nth term of an AP is
given by a + (n - 1)*d where the first term is a and the common difference is
d.


We have a = 3 and the common difference d =
5


The 20th term is 3 + 19*5 = 3 + 95 =
98


The required term of the given AP is
98.

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