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Andrei [34K]
2 years ago
9

Find the value of x. 42° (5x + 2)

Mathematics
1 answer:
kifflom [539]2 years ago
5 0

Answer:

x=8

Step-by-step explanation:

assuming this is what you mean:

(5x+2)=42

try to

isolate the variable by subtracting 2 from both sides

5x=40

continue to isolate the variable

divide by 5 on both sides

5x/5=40/5

x=8

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3 years ago
What is the explict rule for the sequence 12,22,32,42​
icang [17]

The explicit rule for given sequence is:

a_n=2+10n

Further explanation:

We have to determine first of all if the sequence is arithmetic or geometric.

  • If the difference of two consecutive terms is same then the sequence is arithmetic sequence
  • If the ratio of two consecutive terms is same then the sequence is geometric sequence

Given sequence is:

12,22,32,42​

a_1=12\\a_2=22\\a_3=32\\.......\\Let\\d=Common\ difference\\d=a_2-a_1=22-12=10\\d=a_3-a_2=32-22=10

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

a_n=a_1+(n-1)d\\Here,\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\d\ is\ the\ common\ difference

Putting the values of a1 and d

a_n= 12+(n-1)(10)\\a_n=12+10n-10\\a_n=2+10n

The explicit rule for given sequence is:

a_n=2+10n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/1522572
  • brainly.com/question/2491745

#LearnwithBrainly

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Answer:

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2m/h / 2.25m

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