2. Show that the sequence, defined by its n'h term
[a+a,] , forms an AP. Also, find the common difference
of it.
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Answer:
To find that
sequence defined by n'h term and difference and to form an a.p.
we have -
an=a+(n-1)d
suppose if we hiding the an (n'h)then
a+(n-1)d =this is show only one term and a.p. not contain only one term that's why n'h(an) is needed to show an a.p.
difference is ak+1 ak
A.P.= take a=1,d=1andn=11 therefore
an=1+(11-1)1=
1+(10)1=
1+10
so,11 is answer
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