Good morning,☕️
Answer:
n = 10
Step-by-step explanation:
(Un) is defined by 2, 0, -2, -4, -6, ... ———> U1=2 and r= -2
(Vn) is defined by -22, -20, -18, -16, -14, ...———> V1=-22 and r’=2
Un = U1 + (n-1)r = 2 + (n-1)(-2) = -2n+4
Vn = V1 + (n-1)r’ = -22 +(n-1)(2) = 2n-24
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The nth term of the sequence 2, 0, -2, -4, -6, ... is 4 times the nth term of the
sequence -22, -20, -18, -16, -14, ... Means Un=4Vn
_____
Un=4Vn
⇔ -2n+4 = 4(2n-24)
⇔ 10n = 100
⇔ n = 10.
:)
