Sequences and Series
Find the arithmetic mean between −16 and −8.
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Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
Find the sum of the following series up to n terms : 113+1+313+22+1+3+513+23+33+˙˙˙
Find the 20thterm from the last term of the AP : 3, 8, 13, . . , 253.
What will Rs. 500 amounts to in 10 years after its deposit in a bank which pays annual interest are 10% compounded annually?
The 5th, 8thand 11thterms of a G.P. are p, q and s, respectively. Show that q2=ps.
In a factory, 150 workers were engaged to finish a piece of work in a certain number of days. However, if 4 workers are dropped everyday, except the first day, it will take 8 more days to finish the work. Find the number of days in which the work was to be completed.
Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+1)thto (2n)thterm is rn1
Write the first five terms of the sequence whose nthterms are : an=n(n+2)