Oblicz cztery początkowe wyrazy ciągu
a)
b)
an = [ 1 + (-1)^n]/ n
a1 = [ 1 + (-1)^1 ]/1 = [ 1 - 1]/1 = 0
a2 = [ 1 + (-1)^2]/2 = [ 1 + 1]/2 = 2/2 = 1
a3 = [ 1 + (-1)^3]/3 = [ 1 - 1]/3 = 0
a4 = [ 1 + (-1)^4 ]/4 = [1 + 1]/4 = 1/2
an = log 2 [ 4^n]
a1 = log 2 [ 4^1] = log 2 [ 4] = 2
a2 = log2 [ 4^2] = 2* log 2 [4] = 2*2 = 4
a3 = log 2 [4^3 ] = 3 * log 2 [4 ] = 3 *2 = 6
a4 = log 2 [ 4^4] = 4 * log 2 [4] = 4*2 = 8
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a)
b)
a)
an = [ 1 + (-1)^n]/ n
a1 = [ 1 + (-1)^1 ]/1 = [ 1 - 1]/1 = 0
a2 = [ 1 + (-1)^2]/2 = [ 1 + 1]/2 = 2/2 = 1
a3 = [ 1 + (-1)^3]/3 = [ 1 - 1]/3 = 0
a4 = [ 1 + (-1)^4 ]/4 = [1 + 1]/4 = 1/2
b)
an = log 2 [ 4^n]
a1 = log 2 [ 4^1] = log 2 [ 4] = 2
a2 = log2 [ 4^2] = 2* log 2 [4] = 2*2 = 4
a3 = log 2 [4^3 ] = 3 * log 2 [4 ] = 3 *2 = 6
a4 = log 2 [ 4^4] = 4 * log 2 [4] = 4*2 = 8
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