Jiskha Homework Help
Wednesday, February 20, 2013 at 6:52pm
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I'm trying to work through the proof for SST = SSM + SSE MEAN = ∑(X)/N SST = ∑((x - MEAN)^2) = ∑(x^2 - 2 * x1 * MEAN + MEAN^2) = ∑(x^2) - 2 * MEAN * ∑(x) + N * MEAN^2 = ∑(x^2) - 2 * ∑(x)^2/N …
Find a series ∑a_n for which ∑(a_n)^2 converges but ∑|a_n| diverges
If a_n >0 and b_n >0 and series ∑ sqrt( (a_n)^2 +(b_n)^2 ) converges, then ∑a_n and ∑b_n both converge. True or false?
If a_n does not equal zero for any n>=1 and ∑a_n converges absolutely, then ∑ 1/|a_n| diverges. The series are from n=1 to infinity. I think this is true but I'm not sure.
Given that ∑(n=1 to inf) 1/(n^2) = (pi^2)/6, find the value of ∑(n=1 to inf) ((5n^2+6n+3)/((n^2)((1+n)^2))).
Math - Mathematical Induction
3. Prove by induction that∑_(r=1)^n▒〖r(r+4)=1/6 n(n+1)(2n+13)〗. 5. It is given that u_1=1 and u_(n+1)=3u_n+2n-2 where n is a positive integer. Prove, by induction, that u_n=3^n/2-n+1/2. 14. The rth term of …
3. The formula for finding sample standard deviation is ________________. a.𝑠=∑1▒𝑥−𝑥 ̅^2 b.𝜎^2=(∑1▒(𝑋−𝜇)^2 )/𝑁 c.𝑠^2=(∑1▒(𝑋−𝜇)^2 …
∑(x+y) c. ∑(x+∑(y)) d. ∑x+ ∑y e. ∑(x)+ ∑(y)* what do each of these mean?
The number of absences for five children in a local kindergarten class is as follows. # Absences Sophie3Bert749Billy6Joey8Julie2Kid2xx∑=x=∑2x
So I have Maclaurin series for sinx = ∑(-1)^n[x^(2n+1)]/(2n+1)!. I need to write out new series for sin(x^2). This will be equivalent to squaring the whole Maclaurin series of sinx, right?
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