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Answer 1 · 2018-02-01T04:59:56

In Arithmetic Sequence, #n(th)# term

#color(blue)(a_n = a + (n-1)d)#

Given First Term #a_1# = a, Common Difference d

Second Term #a_2# = First term + Common Difference = #a + d#

#a_2 = a + (2-1) d#

Similarly, #a_3 = a + d + d = a + 2d = a + (3-1) d#

Similarly, #a_4 = a + d + d + d = a + 3d = a + (4-1) d#

Generalising the above formula,

#n^(th)# term #a_n = a + (n-1) d#