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dangina [55]
3 years ago
7

16 more than twice a number, m, is 36 write an equation and solve to find the number

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

°° Let's see -

First, subtract 16 from 36.

36 - 16 = 20

Now, what times 2 = 20? If you don't know the answer, let's work it out:

20 ÷ 2 = 10

So, m is 10.

Want to check your answer?

Twice a number (10) goes first.

10 × 2 = 20

Now add 16 and see what you get!

20 + 16 = 36

We were right!

↑   ↑   ↑  Hope this helps! :D

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Answer:

  a) t(n) = 8n -23

  b) t(n) = 7n +24

  c) t(n) = -30n +9

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Step-by-step explanation:

The general equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Expanding this, we find ....

  an = a1 +d·n -d = d·n +(a1 -d)

Comparing that to the form ...

  an = m·n +b

we see that ...

  m = d

  b = (a1 -d)

If you're given a term other than a1, say ak, then you have ...

  ak = d·k +(a1 -d)

  (a1 -d) = ak -d·k

For a given term and common difference, we can write the desired equation as ...

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__

Once again, it is convenient to use a spreadsheet to do the calculations for a number of different instances of this problem.

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c) t(n) = -30n +9

d) t(n) = 1.8n +7

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