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3 years ago

What are the next 4 terms to this sequence2, 6, -4, 10, -14,

Mathematics

1 answer:

Kay [80]3 years ago

6 0

Answer:

24, -38, 62, -100

Step-by-step explanation:

The recursive formula is a_n = a_(n-2) - a_(n-1)

so. we try this 4 times after the -14 term

a_3 = -4 = 2 - 6 = a_1 - a_2

...

a_6 = a_4 - a_5 = 10 - (-14) = 24

a_7 = a_5 - a_6 = -14 - (24) = -38

a_8 = a_6 - a_7 = 24 - (-38) = 62

a_9 = a_7 - a_8 = -38 - 62 = -100

a_10 = a_8 - a_9 = 62 - (-100) = 162

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2 years ago

Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?. .

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Let

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q------> the number of quarters

we know that

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$0.05n+0.25q=1.60$ ----> equation A

$q=3n$ ----> equation B

substitute equation B in equation A

$0.05n+0.25[3n]=1.60$

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Find the value of q

$q=3*2=6$

therefore

The answer part a) is

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the answer Part b) is

The expressions that represents the number of quarters is

$q=3n$

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3 years ago

Read 2 more answers

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3 years ago

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Answer:

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2 years ago

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