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Mathematics
Mathematics
Problem
Let
a
1
,
a
2
,
a
3
,
…
a_1, a_2, a_3, \dots
a
1
,
a
2
,
a
3
,
…
be a G.P. such that
a
1
<
0
a_1 < 0
a
1
<
0
,
a
1
+
a
2
=
4
a_1 + a_2 = 4
a
1
+
a
2
=
4
and
a
3
+
a
4
=
16
a_3 + a_4 = 16
a
3
+
a
4
=
16
. If
∑
i
=
1
9
a
i
=
4
λ
\sum_{i=1}^{9} a_i = 4\lambda
∑
i
=
1
9
a
i
=
4
λ
, then
λ
\lambda
λ
is equal to (a)
−
171
-171
−
171
(b)
−
513
-513
−
513
(c)
511
3
\frac{511}{3}
3
511
(d)
171
171
171
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