jee-main 2016 Q65

jee-main · India · 10apr Sequences and series, recurrence and convergence Summation of sequence terms

The sum $\sum _ { r = 1 } ^ { 10 } \left( r ^ { 2 } + 1 \right) \times ( r ! )$, is equal to:
(1) $11 \times ( 11 ! )$
(2) $10 \times ( 11 ! )$
(3) $(11)!$
(4) $101 \times ( 10 ! )$

The sum $\sum _ { r = 1 } ^ { 10 } \left( r ^ { 2 } + 1 \right) \times ( r ! )$, is equal to:\\
(1) $11 \times ( 11 ! )$\\
(2) $10 \times ( 11 ! )$\\
(3) $(11)!$\\
(4) $101 \times ( 10 ! )$

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