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Kazeer [188]
3 years ago
15

Find an explicit rule for the nth term of the sequence. 2, -8, 32, -128, ...

Mathematics
1 answer:
Akimi4 [234]3 years ago
8 0
A1=2
a2=-8
a3=32
a4=-128

a2/a1=(-8)/2→a2/a1=-4
a3/a2=32/(-8)→a3/a2=-4
a4/a3=(-128)/32→a4/a3=-4

a2/a1=a3/a2=a4/a3=r=-4

an=a1*r^(n-1)
an=2*(-4)^(n-1)

The explicit rule for the nth term of the given sequence is an=2*(-4)^(n-1) 
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A geologist visits 40 volcanoes in Alaska and California. 15% of the volcanoes are in California.
kotegsom [21]

Answer:

<h2>Most explained:</h2>

40% = 100%

15 = (100% - 15% = 85%) 85% in Alaska

California = 15% of 40 = (0.15 x 40) = 6

Alaska = 85% of 40 = (0.85 x 40) = 34

<h2>The simple way (or the way i found it simple):</h2>

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<h3>(I found the simple way after i solve the first way)</h3>

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3 0
3 years ago
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andrew-mc [135]

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

<u>GIVEN :-</u>

  • ∠QPS = 180°
  • ∠QPR = 7x + 88
  • ∠RPS = 3x + 12

<u>TO FIND :-</u>

  1. Value of x
  2. Measure of ∠RPS

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.

<u>PROCEDURE :-</u>

1)

Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.

⇒ ∠QPR & ∠RPS are linear pair.

⇒ ∠QPR + ∠RPS = 180°

⇒ 7x + 88 + 3x + 12 = 180°

⇒ 10x + 100 = 180

⇒ 10x = 180 - 100 = 80

⇒ x = 80/10 = 8

2)

x = 8. So,

∠RPS = 3×8 + 12 = 24 + 12 = 36°

8 0
3 years ago
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