Find the 30th and nth term
[(general) term] of A.P. -
10, 7, 4,..........
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Step-by-step explanation:
A.P.- 10, 7, 4,.........
a=10, d= a2-a1=a3-a2
=7-10=4-7
= -3= -3
d= -3
an=[ a+(n-1)d ]
a30= [10+(30-1)(-3)]
=[10+(29)(-3)]
=[10+(-87)]
a30= -77
an= [a+(n-1)d]
=[10+(n-1)(-3)]
=[10+(-3n-3)]
an =[7-3n]
Therefore a30= -77; an= 7-3n
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