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ArbitrLikvidat [17]
3 years ago
14

Write an equation for the nth term of the geometric sequence 3584, 896, 224... Find the sixth term of this sequence

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

r = \frac{a_n}{a_{n-1}} = \frac{896}{3584} =  \frac{1}{4}

Using the geometric series formula for the <em>n</em>th term:

S_n = a \cdot \frac{1-r^n}{1-r} => S_{6} = 3584 \cdot \frac{1 - (\frac{1}{4})^{6} }{1 - \frac{1}{4} }  = 4777\frac{1}{2}

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for the question. 19. Solve this equation: 80 = 3y + 2y + 4 + 1. A. y = 15 B. y = 75 C. y = –15 D. y = 1/5
Scorpion4ik [409]
80 = 3y+ 2y+4+1
Simplfy like terms:
80 = 5y + 5
-5           -5
75 = 5y
5       5
y = 15 
The answer is A. hope this helps

3 0
3 years ago
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Is the sequence geometric? if so, identify the common.<br> 2, 6, 18, 54,...
Nastasia [14]
Common ratio = 6/2 = 3
7 0
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Natalie and John are both saving coins in jars for a rainy day. Natalie currently has 1 1/8 jars of coins, and John has 9/14 of
aivan3 [116]

Answer:

Natalie will have 1\frac{43}{56} jars of coins all together after receiving John's coins.

Step-by-step explanation:

Given that:

Coins Natalie have = 1\frac{1}{8} jars of coins

Coins John have = \frac{9}{14} jars of coins

When John will give all his coins to Natalie.

Total coins Natalie have = Her coins + John's coins

Total coins Natalie have = 1\frac{1}{8}+\frac{9}{14}

Total coins = \frac{9}{8}+\frac{9}{14}

Total coins =\frac{63+36}{56}=\frac{99}{56}

Total coins = 1\frac{43}{56}

Hence,

Natalie will have 1\frac{43}{56} jars of coins all together after receiving John's coins.

5 0
3 years ago
The table shows data from local cable companies, representing the number of channels offered (x) and monthly dollar
Lelu [443]

Answer:

c

Step-by-step explanation:

i made a 90 on edge

5 0
2 years ago
What is the balance on an amortized loan of $110,000 after the first payment if the interest rate is 5.5% with a monthly P&amp;I
marishachu [46]
The interest due on the first payment is
.. I = Prt
.. I = 110,000*.055*(1/12)
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Then the decrease in principal resulting from the first payment is
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4 0
3 years ago
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