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amm1812
3 years ago
8

What is the next number of the pattern. 2 7 26 101 400

Mathematics
2 answers:
aliina [53]3 years ago
7 0
the\ sequence\ can\ be\ determined\ recursively:\\\\ \left \{ {\big{a_1=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \atop\big {a_{n+1}=4\cdot a_n-n}} \right. \\\\\\a_6=4\cdot a_5-5=4\cdot400-4=1600-5=1595\\\\Ans.\ the\ nxt\ term\ is\ 1595.
Paladinen [302]3 years ago
6 0
2x4-1
7x4-2
26x4-3
101x4-4
400x4-5
and so on . .  
just do the math. 

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Select 2 of the following
siniylev [52]

Answer:

OPTION C: The ratio is a constant.

OPTION E: The ratio is equal to b.

Step-by-step explanation:

Given: $ f(x) = a.b^x $

The ratio of f(x + 1) and f(x) = $ \frac{f(x + 1)}{f(x)} = \frac{a.b^{x + 1}}{a.b^x} $

Since, $ a^{x + 1} = a^x. a $

$ \implies \frac{f(x + 1)}{f(x)} = \frac{a.b^x.b}{a.b^x} $

Cancelling out $ a.b^x $ we get:

$ \frac{f(x + 1)}{f(x)} = b $

This shows that the ratio is always a constant and that constant is equal to b.

3 0
3 years ago
Erika paid a self-employment tax last year. She calculated the self-employment tax for different amounts of net
goldenfox [79]

Answer:

y=153/1000x

Step-by-step explanation:

7 0
3 years ago
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The perimeter of a rectangular garden is 296 m. If the width of the garden is 62 m, what is its length? PLEASE ANSWER ASAP.
True [87]

Answer:

86 m

Step-by-step explanation:

8 0
2 years ago
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A jar contains 133 pennies. A bigger jar contains 1 2/7 times as many pennies. What is 5he value of the pennies in the bigger ja
boyakko [2]
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4 0
3 years ago
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Write two different equations to describe each situation. a) You buy 3 identical shirts and 2 identical pairs of socks and spend
Ronch [10]

Answer:

3x + 2y = 38,  3a + 2b = 38

Step-by-step explanation:

An equation may be defined as a statement that shows two mathematical expressions to be equal. It is to equate one thing to another thing.

In the context, two different equations for the situations are :

i). Let the shirt be represented by x

   And the socks be represented by y

Therefore, according to the question,

   3x + 2y = 38

ii). Let the shirt be represented by a

   And the socks be represented by b

Therefore, according to the question,

   3a + 2b = 38

7 0
3 years ago
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