Sequences and Series
For three numbers a,b,c product of the average of the numbers, a2,b2,c2 and a21,b21,c21 cannot be less than
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Find the indicated terms of the sequence whose nthterms are : an=4n−3;a17,a24
Find the sum of the products of the corresponding terms of the sequences 2,4, 8, 16, 32 and 128, 32, 8, 2, 21.
Which term of the AP : 121, 117, 113, . . ., is its first negative term?[Hint : Find n for an<0]
Write the first five terms of the sequence whose nthterms are : an=n(n+2)
If A and G be A.M. and GM., respectively between two positive numbers, prove that the numbers are A±(A+G)(A−G).
Find the 10thand nthterms of the G.P. 5, 25, 125, . . .
Find the sum of the first 15 multiples of 8.
In an A.P. if mthterm is n and the nthterm is m, where m=n, find the pth term.