Solution:
1)-5,-9, -13,-17,... is an arithmetic progression
Tn= a+(n-1)d=-5+(n-1)(-9+5)
=-5+(n-1)(-4) a=First Term d=common difference
d=-9-(-5)=-4 Tn=nth term
Tn=(-4n-1), n=1,2,3,...
2) 9, 6, 3, 0, -3, ...
a=9, d=6-9=-3
Tn=a+(n-1)d=9+(n-1)(-3)
Tn=-3n+12
3.3. 1, 2, 3, 4, 5, ... is an arithmetic progression
a=1, d = 2-1=1
Tn= 1+(n-1)(1)=n
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Answers & Comments
Solution:
1)-5,-9, -13,-17,... is an arithmetic progression
Tn= a+(n-1)d=-5+(n-1)(-9+5)
=-5+(n-1)(-4) a=First Term d=common difference
d=-9-(-5)=-4 Tn=nth term
Tn=(-4n-1), n=1,2,3,...
2) 9, 6, 3, 0, -3, ...
a=9, d=6-9=-3
Tn=a+(n-1)d=9+(n-1)(-3)
Tn=-3n+12
3.3. 1, 2, 3, 4, 5, ... is an arithmetic progression
a=1, d = 2-1=1
Tn= 1+(n-1)(1)=n