1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

If the mth term and the nth term of an A.P. are respectively $${1 \over n}$$ and $${1 \over m}$$, then the (mn)th term of the A.P. is

A
$${1 \over {mn}}$$
B
$${m \over n}$$
C
1
D
$${n \over m}$$
2
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The sum of the series $$(1 + 2) + (1 + 2 + {2^2}) + (1 + 2 + {2^2} + {2^3}) + ....$$ upto n terms is

A
$${2^{n + 2}} - n - 4$$
B
$$2({2^n} - 1) - n$$
C
$${2^{n - 1}} - n$$
D
$${2^{n + 1}} - 1$$
3
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The 5th term of the series $${{10} \over 9},{1 \over 3}\sqrt {{{20} \over 3}} ,{2 \over 3}$$ is

A
$${1 \over 3}$$
B
1
C
$${2 \over 5}$$
D
$$\sqrt {{2 \over 3}} $$
4
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

If a, b, c be in Arithmetic progression, then the value of $$(a + 2b - c)(2b + c - a)(a + 2b + c)$$ is

A
16 abc
B
4 abc
C
8 abc
D
3 abc
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Class 12