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Sagot :
Geometric means
32, ax1, ax2, ax3, 162
___________________________
S1 = 32 = a1 r^(n-1)
S5 = 162 = a1 r^ (n-1)
________________
32 = a1 r^0
32= a1
S5 = 162 = a1 r^ (5-1)
S5 = 162 = 32 r^ (4)
162/ 32 = r^ (4)
r= 3/2
____________
Sn = 32 (3/2)^ (n-1)
_____________
n=2
S2 = 32 (3/2)^ (2-1)
S2 = 32 (3/2)^ (1)
S2 = 48
n=3
S3 = 32 (3/2)^ (3-1)
S3 = 32 (3/2)^ (2)
S3 = 32 (9/4)
S3= 72
n=4
S4 = 32 (3/2)^ (4-1)
S4 = 32 (3/2)^ (3)
S4 = 32 (27/8)
S4= 108
__________________
Answer
32, 48, 72, 108, 162
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