1
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
Let a1, a2, ..., an be a given A.P. whose
common difference is an integer and
Sn = a1 + a2 + .... + an. If a1 = 1, an = 300 and 15 $$\le$$ n $$\le$$ 50, then
the ordered pair (Sn-4, an–4) is equal to:
A
(2480, 249)
B
(2480, 248)
C
(2490, 248)
D
(2490, 249)
2
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
If 1+(1–22.1)+(1–42.3)+(1-62.5)+......+(1-202.19)= $$\alpha$$ - 220$$\beta$$,
then an ordered pair $$\left( {\alpha ,\beta } \right)$$ is equal to:
A
(11, 103)
B
(10, 103)
C
(10, 97)
D
(11, 97)
3
JEE Main 2020 (Online) 3rd September Evening Slot
+4
-1
If the sum of the series

20 + 19$${3 \over 5}$$ + 19$${1 \over 5}$$ + 18$${4 \over 5}$$ + ...

upto nth term is 488 and the nth term is negative, then :
A
n = 41
B
n = 60
C
nth term is –4
D
nth term is -4$${2 \over 5}$$
4
JEE Main 2020 (Online) 3rd September Morning Slot
+4
-1
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
$${1 \over 6}$$
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