Arithmetic Progression (A . P)
In a sequence the difference of any two consecutive terms is constant, then the sequence is called an arithmetic progression. That difference is called the common difference and is denoted by d.
Sequence αα ္αုαြα္ αα္αွ်α္αွိေαာ αα့္αα့္αိα္းႏွα ္αုααို ျαားαားျαα္း(ႏႈα္ျαα္း) αα္ αိα္းေαျαα ္ αွ်α္ ၎ sequence αို arithmetic progression αုေαααα္။
If u1 , u2 , u3 , u4 , - - -, un-1 , un is an A . P,then u2 -u1 = u3 -u2 = u4 -u3 = - - - = un -un-1 = constant.
In a sequence the difference of any two consecutive terms is constant, then the sequence is called an arithmetic progression. That difference is called the common difference and is denoted by d.
Sequence αα ္αုαြα္ αα္αွ်α္αွိေαာ αα့္αα့္αိα္းႏွα ္αုααို ျαားαားျαα္း(ႏႈα္ျαα္း) αα္ αိα္းေαျαα ္ αွ်α္ ၎ sequence αို arithmetic progression αုေαααα္။
If u
un -un-1 = d.
un = un-1 + d
Generally the first term (u1) of a sequence is denoted by a.
Therefore ....
u1 = a
un = un-1 + d
u2 = u1 + d = a + d
u3 = u2 + d = 2a + d
u4 = u3 + d = 3a + d
From above expression the nth term of an arithmetic progression can be expressed as
| un = a + (n-1)d |
where ...
un = the nth term
a = the first term
d = the common difference
n = number of term
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