2 , 6 , 1 2 , 2 0 , 3 0 . . .
What is the 1 1 t h term in the above sequence?
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Let the n t h term in the sequence be a n . Then we have:
{ a n } ⟹ a n a 1 1 = 2 , 6 , 1 2 , 3 0 . . . = 1 × 2 , 2 × 3 , 3 × 4 , 4 × 5 . . . n ( n + 1 ) . . . = n ( n + 1 ) = 1 1 × 1 2 = 1 3 2
The sequence is ( a 2 +a) or(axa+a) i.e.-->
1x1+1 , 2x2+2 , 3x3+3, ...
so the 11th term is 11x11+11=132 .
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2+4=6+6=12+8=20+10=30....continuing in this manner we get 110+22=132