Hey,
Note: Brother In case of any queries brother just comment in box I would be very happy to assist all your queries.
Below is the answer
a)
Since ai is GP with a=8 and r=2
So, the nth term of sequuence is a*r^n-1
So, the summation with first and last 2 outside are
So, summation=
=
b)
Since kth term is first k+1 positive odds
So, d0=1
d1=1+3=4
d_(m+1)=1+3+5+.... (m+2 terms)
((m+2)/2)*(2+2(m+1))=(m+2)^2
d_(m+2)=1+3+5+....(m+2 terms)
((m+3)/2)*(2+2*(m+2))=(m+3)^2
So, the summation is
Kindly revert for any queries
Thanks.
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