1
IIT-JEE 1988
Fill in the Blanks
+2
-0
The sum of the first n terms of the series $${1^2} + {2.2^2} + {3^2} + {2.4^2} + {5^2} + {2.6^2} + .........$$ is
$$n\,\,{\left( {n + 1} \right)^2}/2,$$ when $$n$$ is even. When $$n$$ is odd, the sum is .............
2
IIT-JEE 1988
MCQ (Single Correct Answer)
+2
-0.5
Sum of the first n terms of the series $${1 \over 2} + {3 \over 4} + {7 \over 8} + {{15} \over {16}} + ............$$ is equal to
A
$${2^n} - n - 1$$
B
$$1 - {2^{ - n}}$$
C
$$n + {2^{ - n}} - 1$$
D
$${2^n} + 1$$
3
IIT-JEE 1988
MCQ (More than One Correct Answer)
+2
-0.5
If the first and the $$(2n-1)$$st terms of an A.P., a G.P. and an H.P. are equal and their $$n$$-th terms are $$a,b$$ and $$c$$ respectively, then
A
$$a = b = c$$
B
$$a \ge b \ge c$$
C
$$a + c = b$$
D
$$ac - {b^2} = 0$$
4
IIT-JEE 1988
True or False
+1
-0
The lines $$2x + 3y + 19 = 0$$ and $$9x + 6y - 17 = 0$$ cut the coordinates axes in concyclic points.
A
TRUE
B
FALSE
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