Sequences and Series
A man travels m feet due north at 2 minutes per metre. He returns due south to his starting point at 2 metre per minute. The average rate in miles per hour for the entire trip is:
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Find the sum to n terms of the series 1+12+141+1+22+242+1+32+343+………. that means tr=r4+r2+1r find 1∑n
The product of the three numbers in G.P. is 125 and sum of their product taken in pairs is 2175
. Find them.
Find the sum to n terms of the series 12−22+32−42+52−62+....
are in H.P., then prove that (b+c+d)/a,(c+d+a)/b,(d+a+b)/c
, are in A.P.
is the geometric mean of xandy
then prove that G2−x21+G2−y21=G21
Find the value of 112+122+132++202˙
Which term of the sequence 20,1941,1821,1743,˙
is the first negative term?
Find the sum of the following series to n