Sequences and Series
In any ΔABC, Π(sinAsin2A+sinA+1) is always greater than
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denotes the sum of the first n
terms of an A.P., then find the common difference.
If the sum of the series n=0∑∞rn,∣r∣<1iss,
then find the sum of the series n=0∑∞r2n
are in H.P., then find the value of b−2−c2a−2−d2
Write the first five terms of the following sequence and obtain the corresponding series. a1=a2=2,an=an−1−1,n>2
Find the sum to n
terms of the sequence (x+1/x)2,(x2+1/x)2,(x3+1/x)2,,
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
Find the value of 112+122+132++202˙
In a geometric progression consisting of positive terms, each term equals the sum of the next terms. Then find the common ratio.