1
JEE Main 2020 (Online) 3rd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common difference of this A.P. is :
A
$${1 \over 4}$$
B
$${1 \over 5}$$
C
$${1 \over 7}$$
D
$${1 \over 6}$$
2
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let S be the sum of the first 9 terms of the series :
{x + k$$a$$} + {x2 + (k + 2)$$a$$} + {x3 + (k + 4)$$a$$}
+ {x4 + (k + 6)$$a$$} + .... where a $$ \ne $$ 0 and x $$ \ne $$ 1.

If S = $${{{x^{10}} - x + 45a\left( {x - 1} \right)} \over {x - 1}}$$, then k is equal to :
A
-3
B
1
C
-5
D
3
3
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the sum of first 11 terms of an A.P.,
a1, a2, a3, .... is 0 (a $$ \ne $$ 0), then the sum of the A.P.,
a1 , a3 , a5 ,....., a23 is ka1 , where k is equal to :
A
$${{121} \over {10}}$$
B
-$${{121} \over {10}}$$
C
$${{72} \over 5}$$
D
-$${{72} \over 5}$$
4
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The sum of the first three terms of a G.P. is S and their product is 27. Then all such S lie in :
A
[-3, $$\infty $$)
B
(-$$ \propto $$, 9]
C
(-$$ \propto $$, -9] $$ \cup $$ [-3, $$\infty $$)
D
(-$$ \propto $$, -3] $$ \cup $$ [9, $$\infty $$)
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