Middle School

Find the first six terms of the sequence.

Given: [tex]a_1 = -8, \, a_n = 5 \cdot a_{n-1}[/tex]

Choose the correct sequence:

A. 8, -40, -200, -1000, -5000, -25,000

B. -8, -40, -35, -30, -25, -20

C. 0, 5, -40, -35, -30, -25

D. -40, -200, -1000, -5000, -25,000, -125,000

Please help me.

Answer :

a(n) = a1 * r^(n-1)
a1 = first term = -8
r = common ratio = 5

a(2) = -8 * 5^(2-1)
a(2) = -8 * 5^1
a(2) = -40

a(3) = -8 * 5^(3 - 1)
a(3) = -8 * 5^2
a(3) = -8 * 25
a(3) = -200

a(4) = -8 * 5^(4 - 1)
a(4) = -8 * 5^3
a(4) = -8 * 125
a(4) = -1000

a(5) = -8 * 5^(5 - 1)
a(5) = -8 * 5^4
a(5) = -8 * 625
a(5) = -5000

a(6) = -8 * 5^(6-1)
a(6) = -8 * 5^5
a(6) = -8 * 3125
a(6) = -25,000

the first 6 terms are : -8, -40, -200, -1000, -5000, -25,000

Answer:

the answer is B

Step-by-step explanation:

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