Sequences and Series
If the mean of 20,14,16,19,p and 21 is 27 then find the value of ′p′
And mean of these numbers is 27.
Since, total number =6.
Hence, the value of p is 72.
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Find the sum r=1∑n(r+1)!r where n!=1×2×3….n.
The digits of a positive integer, having three digits, are in A.P. and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number.
then find the sum of r=1∑nTr1
If the sum of the squares of the first n
natural numbers exceeds theri sum by 330,
Find the sum of n terms of the series 1+54+527+5310+˙
If m>1,n∈N show that 1m+2m+22m+23m++2nm−m>n1−m(2n−1)m˙
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.
If the pth term of an A.P. is q
and the qth term is p
, then find its rth term.