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Byju's Answer
Standard VII
Mathematics
Fibonacci Series
Let a1, a2 .a...
Question
Let a1, a2 .a3, be a sequence of real numberssuch that the sum of every 5 consecutive terms ispositive whereas the sum of every 9 consecutiveterms is negative. The sequence can have at most(2) 14 terms(1) 9 terms(4) 12 terms3) 13 terms
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Similar questions
Q.
Consider the arithmetic sequence
6
,
10
,
14
,
.
.
.
.
.
(a) What is the sum of first
n
consequence terms of the above sequence?
(b) How many consecutive terms from the beginning should be added to get the sum
240
?
(c) Is the sum of first-few consecutive terms becomes
250
? Why?
Q.
The sum of the first
25
terms of an arithmetic sequence is
1
,
400
, and the
25
t
h
term is
104
. F
ind the value of
a
2
−
a
1
where
the first term of the sequence is
a
1
and the second term is
a
2
.
Q.
Find the sum of terms of the sequence till n terms :
6
+
9
+
16
+
27
+
42
+
.
.
.
.
+
n
t
e
r
m
s
.
Q.
Let
(
a
n
)
n
≥
1
be a sequence of non-negative such that
a
n
≥
a
2
n
+
a
2
n
+
1
,
for all
n
≥
1.
Prove that for any positive integer N we can find N consecutive terms of the sequence, all equal to zero.
Q.
Find the sum of the first
15
terms of the sequence having
n
th term as
y
n
=
9
−
5
n
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