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Sums of sequences (Gemoetric sum (Σ ((2)(-4)*k-1), n (15-2+1=14), r (-4),…
Sums of sequences
Gemoetric sum
Σ
(2)(-4)*k-1
k=2
15
n
15-2+1=14
r
-4
a1
(2)(-4)*2-1 = -8
Sn
a1(1-r*n)/(1-r)
=-429496731.2
Arithmetic sum
Σ
3k+1
k=5
50
n
50-5+1=46
a1
3(5)+1=16
an
3(50)+1=151
Sn
n(a1+an/2)
3841=
Infinite sum
k=1
∞
Σ
2(0.2)^k-1
S∞=a1/1-r=2/1-0.2
r <1
convergent
r >1
divergent(no sum)
done by: sara alsaed-halah algadi