Give the next three terms for each geometric sequence.
1.) -1, 2, -4, _, _, _
2.) 100, 20, 4, _, _, _
p.s. I will mark the brainliest answer for those got these right
1.) -1, 2, -4, _, _, _
2.) 100, 20, 4, _, _, _
p.s. I will mark the brainliest answer for those got these right
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Answer:
1. -1, 2, -4, 8, -16, 32
2. 100, 20, 4, 0.8, 0.16, 0.032
Step-by-step explanation:
1.
r = a2 ÷ a1
= 2 ÷ -1
= -2
an = ar^n-1
a4 = (-1)(-2^4-1)
= (-1)(-2³)
=(-1)(-8)
= 8
a5 = (-1)(-2^5-1)
= (-1)(-2⁴)
=(-1)(16)
= -16
a6 = (-1)(-2^6-1)
= (-1)(-2⁵)
=(-1)(-32)
= 32
2.
r = a2 ÷ a1
= 20 ÷ 100
= 0.2
an = ar^n-1
a4 = (100)(0.2^4-1)
= (100)(0.2³)
=(100)(0.008)
= 0.8
a5 = (100)(0.2^5-1)
= (100)(0.2⁴)
=(100)(0.0016)
= 0.16
a6 = (100)(0.2^6-1)
= (100)(0.2⁵)
=(100)(0.00032)
= 0.032