0 votes 0 votes How the value of a1 = 3, a2 = 2 is calculated. Mathematical Logic engineering-mathematics generating-functions test-series + – Overflow04 asked Aug 25, 2022 Overflow04 466 views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply Kabir5454 commented Aug 25, 2022 reply Follow Share We know that ; $\frac{1}{1-x}=1+ x+x^{2}+x^{3}+x^{4}+x^{5}+...................$ Putting $x^{2}$ in place of x we get , $\frac{1}{1-x^{2}}=1+ x^{2}+x^{4}+x^{6}+x^{8}+x^{10}+...................$ Given , $G(x)=x^{2}+3x+7+\frac{1}{1-x^{2}}$ $G(x)=x^{2}+3x+7+1+x^2+x^4+x^{6}+x^8$ $G(x)=8+3x+2x^2+0.x^3+x^4+0.x^5+x^{6}+0.x^7+x^8+x^{10}+x^{12}+........$ So, $a_{0}=8$ , $a_{7}=0$ ; $a_{0}$, $a_{7}$ are coefficient of $x^0$ and $x^7$ . 1 votes 1 votes Overflow04 commented Aug 26, 2022 reply Follow Share thank you @Kabir5454 I got the solution. 👌 The best part in entire gate overflow is your resume https://gateoverflow.in/?qa=blob&qa_blobid=16501258833363771901 1 votes 1 votes Kabir5454 commented Aug 26, 2022 reply Follow Share @GateOverflow04 Atleast someone noticed😂😂😂 0 votes 0 votes Please log in or register to add a comment.