Sequences and Series
For any two positive numbers,we have
Choose the correct choice in the following and justify
(i) 30th term of the AP: 10,7,4,… is (A) 97 (B) 77 (C) −77 (D) 87
(ii) 11th term of the AP: –3,−21,2,… is (A) 28 (B) 22 (C) –38 (D) –4821
If a, b, c, d and p are different real numbers such that (a2+b2+c2)p2−2(ab+bc+cd)p+(b2+c2+d2)≤0, then show that a, b, c and d are in G.P.
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.