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Varvara68 [4.7K]
2 years ago
13

Find the exact value of the eighth term of the geometric sequence: 648,216,72,24

Mathematics
1 answer:
NikAS [45]2 years ago
7 0

8th term is 0.30

Step-by-step explanation:

  • Step 1: nth term of a GP = a × r^n-1
  • Step 2: Find r.

⇒ r = a2/a1 = 216/648 = 1/3

  • Step 3: Calculate 8th term. a = 648, r = 1/3 and n = 8

⇒ 8th term =  648 × (1/3)^8-1 = 648 × (1/3)^7 = 648/2187 = 0.30

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4 0
1 year ago
Use the distributive property to simplify 3 + 5c(2 + 6c) completely.​
Charra [1.4K]

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

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And we can't simplify it anymore.

7 0
2 years ago
Which expression is equivalent to 5^0?
kodGreya [7K]

Answer:

The Answer Is Going To Be 1

Step-by-step explanation:

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5 0
2 years ago
Can you help me because I’m stuck!
oee [108]

Answer:

u is (0,2.3)  v is (-2,1.1)   w is( -4,-1) x is (2.5,0)    Y is (2,-1.5)  Z (-1.5,-3)

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6 0
2 years ago
Find the product of each pair of complex conjugates.<br>(3+8i)(3-8i)=
sdas [7]
3*3=9

3 *-8i = -24i

8i *3 =24i

8i*-8i = -64i^2 or i^2 =-1. -64*-1=64

-24i + 24i =0

9+64= 73

Answer 73
4 0
3 years ago
Read 2 more answers
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