For a sequence, if \( a_{1}=2 \) and \( \frac{a_{n+1}}{a_{n}}=\frac{1}{3} \). Then, \( \sum_{r=1...

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{a_i}, i=1,2, … . n is arithmetic sequence. If a_7=9 then value of common difference of the A.P. ...{a_i}, i=1,2, … . n is arithmetic sequence. If a_7=9 then value of common difference of the A.P. ...
Suppose sin ^3 x sin 3 x=∑_m=0^n C_mcos m x is an identity in x, where C_0, C_1, …, C_n are const...Suppose sin ^3 x sin 3 x=∑_m=0^n C_mcos m x is an identity in x, where C_0, C_1, …, C_n are const...
If the sum of 1+1+2/2+1+2+3/3+… . to n terms is S, then S is equal to (1) n(n+3)/4 (2) n(n+2)/4 (...If the sum of 1+1+2/2+1+2+3/3+… . to n terms is S, then S is equal to (1) n(n+3)/4 (2) n(n+2)/4 (...