find the geometric means for each given sequence 6, , , 162

3 answers

There seem to be some missing terms in the sequence. Assuming it is a four-term sequence, one possible solution is:

The geometric mean of 6 and 162 is sqrt(6*162) ≈ 36.
find Sn for the arithmetic series a1=16,an=48,n=6
We can use the formula for the sum of an arithmetic series:

Sn = n/2 * (a1 + an)

Plugging in the given values:

Sn = 6/2 * (16 + 48) = 3 * 64 = 192

Therefore, the sum of the arithmetic series is 192.