MEDIUM
JEE Main
IMPORTANT
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A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute. If a1=a2==a10=150  and a10a11, are in an A.P. with common difference -2, then the time taken by him to count all notes is

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Important Questions on Sequences and Series

MEDIUM
JEE Main
IMPORTANT
If the sum of n terms of an A.P. is nA+n2B, where A, B are constants. Then, its common difference will be
MEDIUM
JEE Main
IMPORTANT
If a1, a2, a3an are in A.P., where ai>0 for all i, then the value of 1a1+a2+1a2+a3++1an-1+an=
MEDIUM
JEE Main
IMPORTANT
If a1, a2,....., an+1 are in A.P., then 1a1a2+1a2a3+..+1anan+1 is
MEDIUM
JEE Main
IMPORTANT
The sum of first n terms of an A.P. whose last term is l and common difference is d is
MEDIUM
JEE Main
IMPORTANT
A man arranges to pay off a debt of  3600 by 40 annual instalments which are in A.P. When 30 of the instalments are paid he dies leaving one third of the debt unpaid. The value of the 8th instalment is
MEDIUM
JEE Main
IMPORTANT
The maximum sum of the series 20+1913+1823+18+ is
MEDIUM
JEE Main
IMPORTANT
For distinct positive numbers a, b and c, if a2, b2 and c2 are in AP, then which one of the following triplets is also in AP?
MEDIUM
JEE Main
IMPORTANT
Nine numbers are written in ascending order. The middle number is also the average of the nine numbers. The average of the 5 larger numbers is 68 and the average of the 5 smaller numbers is 44 . The sum of all the numbers is