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astraxan [27]
3 years ago
9

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer:

A

Step-by-step explanation:

A is an arithmetic sequence with first term -2 and common difference 5.  Each new term is found by adding 5 to the previous term.

B is a geometric sequence with first term 1 and common ratio 1/2.

C is neither an arithmetic nor a geometric sequence.

D is neither.  We might call it an "alternating sequence."

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Joe earns $14 an hour and Blaine earns $18 per hour. Joe receives a raise of $1.75 every six months, and Blaine receives a raise
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After 4 interval of six months, Joe to earn same hourly rate as Blaine

<em><u>Solution:</u></em>

Given that,

Amount earned by Joe = $ 14 per hour

Amount earned by Blaine = $ 18 per hour

Lets assume the number of six month intervals be "x"

<em><u>Joe receives a raise of $1.75 every six months</u></em>

Therefore,

Joe earning: 14 + 1.75(number of six month intervals)

Equation for Joe earning: 14 + 1.75x ------- eqn 1

<em><u>Blaine receives a raise of $0.75 every six months</u></em>

Therefore,

Blaine earning: 18 + 0.75(number of six month intervals)

Equation for Blaine earning: 18 + 0.75x ------------ eqn 2

The number of six-month intervals it will take Joe to earn the same hourly rate as Blaine,

Eqn 1 must be equal to eqn 2

14+1.75x = 18+0.75x\\\\1.75x-0.75x = 18-14\\\\1x = 4\\\\x = 4

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